Reiterating that I mentioned asking her what are helpful or useful topics to discuss as she may want to hear about this and depending on her orientation, consider it part of the therapy. If you feel to unsafe to discuss the googling and feelings of envy now, but she practices in a way where it would be safe to discuss this, maybe you could ease into talking about such things by first bringing up the feelings; later you could progress to being 100% honest with her.

I discussed googling my therapist and all my feelings with him as part of our therapy since that was the way he practiced. I found it very helpful and he was not reactive about it.

Just FYI