This would partially be up to your DM in how he wants to interpret the below quote which I have obtained from the traditions section under multiple traditions. Emphasis mine.
If a player or GM wishes a player to follow two traditions (similar to creating a wizard/cleric in traditional Pathfinder,) they may do so. When gaining a level in a casting class beyond their 1st, the caster may apply that casting level to a new tradition. They gain an entirely separate set of spheres, talents, caster level, spell points, drawbacks, and boons, which are determined similarly to but completely separate from the first set.
It states the talents are completely separate from the other class. This still would not technically be your first caster level so by RAW you would not gain the extra talents.
I see little harm in allowing the extra talents seeing as they would not share Caster Levels or be able to benefit each-other.