WoW Forever Priest Talents
The Priest trees (Discipline, Holy, Shadow) as the WoW Forever beta client ships them: 1 talents renamed and 36 with changed text against Classic Era, 9 identical.
The tree layout on this page is the beta client's current Talent table (build 1.60.1.69913), and it matches Classic Era 1.15.9.69722 slot for slot. Blizzard has not shipped the final Forever trees in readable client data, so treat positions, rank caps and arrows as vanilla's until a build changes them.
Priest talent calculator
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Planner rules are Classic's: 51 points at level 60, five points per tier. Blizzard has not confirmed either for Forever. Share links are ours, not in-game import strings.
Every Priest talent: Forever beta against vanilla
Discipline

Unbreakable Will Text changed
Forever beta Reduces the duration of Stun, Fear, and Silence effects inflicted on you by 30%.
Vanilla rank 1 Increases your chance to resist Stun, Fear, and Silence effects by an additional 3%.

Wand Specialization Text changed
Forever beta Increases your damage with Wands by 25%.
Vanilla rank 1 Increases your damage with Wands by 5%.

Silent Resolve Text changed
Forever beta Reduces the threat generated by your Holy spells by 30% and reduces the duration of Stun, Fear, and Silence effects inflicted on you by 15%.
Vanilla rank 1 Reduces the threat generated by your spells by 4%.

Improved Power Word: Fortitude Same as vanilla
Increases the effect of your Power Word: Fortitude and Prayer of Fortitude spells by 15%.

Improved Power Word: Shield Text changed
Forever beta Increases the damage absorbed by your Power Word: Shield by 20%.
Vanilla rank 1 Increases the damage absorbed by your Power Word: Shield by 5%.

Martyrdom Text changed
Forever beta Gives you a X% chance to gain Focused Casting for 6 sec after being the victim of a melee or ranged critical strike. The Focused Casting effect prevents you from losing casting time when taking damage and increases your resistance to Interrupt effects by 20%.
Vanilla rank 1 Gives you a 50% chance to gain the Focused Casting effect that lasts for 6 sec after being the victim of a melee or ranged critical strike. The Focused Casting effect prevents you from losing casting time when taking damage and increases resistance to Interrupt effects by 10%.

Inner Focus Same as vanilla
When activated, reduces the Mana cost of your next spell by 100% and increases its critical effect chance by 25% if it is capable of a critical effect.

Meditation Text changed
Forever beta Allows 50% of your Mana regeneration to continue while casting.
Vanilla rank 1 Allows 5% of your Mana regeneration to continue while casting.

Improved Inner Fire Text changed
Forever beta Increases the Armor bonus of your Inner Fire spell by 45% and increases its total charges by 12.
Vanilla rank 1 Increases the Armor bonus of your Inner Fire spell by 10%.

Mental Agility Text changed
Forever beta Reduces the mana cost of your Smite, Holy Fire, and instant cast spells by 10%.
Vanilla rank 1 Reduces the mana cost of your instant cast spells by 2%.

Improved Mana Burn Text changed
Forever beta Reduces the casting time of your Mana Burn spell by 1.1 sec.
Vanilla rank 1 Reduces the casting time of your Mana Burn spell by 0.25 secs.

Mental Strength Text changed
Forever beta Increases your total Intellect by 15%.
Vanilla rank 1 Increases your maximum Mana by 2%.

Divine Spirit Text changed
Forever beta Holy power infuses the target, increasing their Spirit by 17 for 60 min.
Vanilla rank 1 Holy power infuses the target, increasing their Spirit by 17 for 30 min.

Force of Will Same as vanilla
Increases your spell damage by 1% and the critical strike chance of your offensive spells by 1%.

Power Infusion Text changed
Forever beta Infuses the target with power, increasing their spell damage and healing done by 20% for 15 sec.
Vanilla rank 1 Infuses the target with power, increasing their spell damage and healing by 20%. Lasts 15 sec.
Holy

Twilight Focus was Healing Focus Renamed
Forever beta Gives you a 70% chance to avoid interruption caused by damage while casting any spell.
Vanilla rank 1 Gives you a 35% chance to avoid interruption caused by damage while casting any healing spell.

Improved Renew Same as vanilla
Increases the amount healed by your Renew spell by 5%.

Holy Specialization Same as vanilla
Increases the critical effect chance of your Holy spells by 1%.

Spell Warding Text changed
Forever beta Reduces all spell damage taken by 10%.
Vanilla rank 1 Reduces all spell damage taken by 2%.

Divine Fury Text changed
Forever beta Reduces the casting time of your Smite, Holy Fire, Heal, and Greater Heal spells by 0.5 sec.
Vanilla rank 1 Reduces the casting time of your Smite, Holy Fire, Heal and Greater Heal spells by 0.1 sec.

Holy Nova Text changed
Forever beta Causes an explosion of holy light around the caster, causing 27 Holy damage to all enemy targets within yards and healing all party members within 10 yards for 51. These effects cause no threat.
Vanilla rank 1 Causes an explosion of holy light around the caster, causing 28 Holy damage to all enemy targets within 10 yards and healing all party members within 10 yards for 52. These effects cause no threat.

Blessed Recovery Text changed
Forever beta After being struck by a melee or ranged critical hit, or suffering more than 30% of your maximum Health from a single attack, heal 8% of the damage taken over 6 sec. Refreshing this effect carries over any remaining healing.
Vanilla rank 1 After being struck by a melee or ranged critical hit, heal 8% of the damage taken over 6 sec.

Inspiration Text changed
Forever beta Your non-periodic critical heals increase your target's Armor by X% for 15 sec.
Vanilla rank 1 Increases your target's armor by 8% for 15 sec after getting a critical effect from any of your heals.

Holy Reach Same as vanilla
Increases the range of your Smite and Holy Fire spells and the radius of your Prayer of Healing and Holy Nova spells by 10%.

Improved Healing Text changed
Forever beta Reduces the Mana cost of your Lesser Heal, Heal, Greater Heal, Penance, and Prayer of Mending spells by 15%.
Vanilla rank 1 Reduces the Mana cost of your Lesser Heal, Heal, and Greater Heal spells by 5%.

Searing Light Text changed
Forever beta Increases your Holy damage done by 10%, and gives a 10% chance each time your Holy Fire spell deals periodic damage for your next Holy Nova to cost no Mana.
Vanilla rank 1 Increases the damage of your Smite and Holy Fire spells by 5%.
Improved Prayer of Healing Not readable
The beta client ships no readable spell for this slot.

Spirit of Redemption Text changed
Forever beta Upon death, the priest becomes the Spirit of Redemption for 15 sec. The Spirit of Redemption cannot move, attack, be attacked or targeted by any spells or effects. While in this form the priest can cast any healing spell free of cost. When the effect ends, the priest dies.
Vanilla rank 1 Upon death, the priest becomes the Spirit of Redemption for 10 sec. The Spirit of Redemption cannot move, attack, be attacked or targeted by any spells or effects. While in this form the priest can cast any healing spell free of cost. When the effect ends, the priest dies.

Spiritual Guidance Text changed
Forever beta Increases your spell healing by up to 25% of your total Spirit and your spell damage by up to 8% of your total Spirit.
Vanilla rank 1 Increases spell damage and healing by up to 5% of your total Spirit.

Spiritual Healing Text changed
Forever beta Increases the amount healed by your spells by 2%.
Vanilla rank 1 Increases the amount healed by your healing spells by 2%.

Lightwell Same as vanilla
Creates a holy Lightwell near the priest. Members of your raid or party can click the Lightwell to restore 800 health over 10 sec. Being attacked cancels the effect. Lightwell lasts for 3 min or 5 charges.
Shadow

Spirit Tap Text changed
Forever beta Gives you a X% chance to gain a 100% bonus to your Spirit for 15 sec after killing a non-trivial target. For the duration, your Mana will regenerate at a 50% of normal rate while casting.
Vanilla rank 1 Gives you a 20% chance to gain a 100% bonus to your Spirit after killing a target that yields experience. For the duration, your Mana will regenerate at a 50% rate while casting. Lasts 15 sec.

Blackout Same as vanilla
Gives your Shadow damage spells a 2% chance to stun the target for 3 sec.

Shadow Affinity Same as vanilla
Reduces the threat generated by your Shadow spells by 8%.

Improved Shadow Word: Pain Text changed
Forever beta Increases the duration of your Shadow Word: Pain spell by 6 sec.
Vanilla rank 1 Increases the duration of your Shadow Word: Pain spell by 3 sec.

Shadow Focus Text changed
Forever beta Improves your chance to hit with Shadow spells by 5%.
Vanilla rank 1 Reduces your target's chance to resist your Shadow spells by 2%.

Improved Psychic Scream Text changed
Forever beta Reduces the cooldown of your Psychic Scream spell by 4 sec.
Vanilla rank 1 Reduces the cooldown of your Psychic Scream spell by 2 sec.

Improved Mind Blast Text changed
Forever beta Reduces the cooldown of your Mind Blast spell by 2.5 sec.
Vanilla rank 1 Reduces the cooldown of your Mind Blast spell by 0.5 sec.

Mind Flay Text changed
Forever beta Assault the target's mind with Shadow energy, causing 63 Shadow damage over 3 sec and slowing their movement speed by 50%.
Vanilla rank 1 Assault the target's mind with Shadow energy, causing 75 Shadow damage over 3 sec.

Improved Fade Text changed
Forever beta Decreases the cooldown of your Fade ability by 6 sec.
Vanilla rank 1 Decreases the cooldown of your Fade ability by 3 sec.

Shadow Reach Text changed
Forever beta Increases the range of your offensive Shadow spells by 20%.
Vanilla rank 1 Increases the range of your Shadow damage spells by 6%.

Shadow Weaving Text changed
Forever beta Your Shadow damage spells have a 100% chance to increase the Shadow damage you deal by 2% for 15 sec, stacking up to 5 times.
Vanilla rank 1 Your Shadow damage spells have a 20% chance to cause your target to be vulnerable to Shadow damage. This vulnerability increases the Shadow damage dealt to your target by 3% and lasts 15 sec. Stacks up to 5 times.

Silence Text changed
Forever beta Silences the target, preventing them from casting spells for 5 sec and interrupting their spellcasts for 3 sec.
Vanilla rank 1 Silences the target, preventing them from casting spells for 5 sec.

Vampiric Embrace Text changed
Forever beta Afflicts your target with Shadow energy that causes all party members to be healed for 20% of any Shadow spell damage you deal for 30 sec. Vampiric Embrace also grants a chance for your Spirit Tap talent to trigger when enemies afflicted by it die.
Vanilla rank 1 Afflicts your target with Shadow energy that causes all party members to be healed for 20% of any Shadow spell damage you deal for 1 min. You take 100% more healing from this effect.

Improved Vampiric Embrace Text changed
Forever beta Increases the percentage healed by your Vampiric Embrace by an additional 5%.
Vanilla rank 1 Increases the percentage healed by Vampiric Embrace by an additional 5%.

Darkness Text changed
Forever beta Increases your Shadow damage done by 10%.
Vanilla rank 1 Increases your Shadow spell damage by 2%.

Shadowform Text changed
Forever beta Assume Shadowform, increasing your Shadow damage by 10%, reducing the Mana cost of all Shadow spells by 50%, increasing the critical strike damage bonus of your Shadow spells by 100%, and reducing Physical damage taken by you by 15%. However, you may not cast healing spells while in this form.
Vanilla rank 1 Assume a Shadowform, increasing your Shadow damage by 15%, reducing the mana cost of all Shadow spells by X%, and reducing Physical damage done to you by 15%. However, you may not cast Holy spells while in this form.
Beta values are the single readable record per talent. They do not always correspond to vanilla rank 1, so compare the wording, not the rank.