My previous T's have been very non-disclosure type of T's, though one was more open than the other, I just never saw her that much.

This T surprised me with her open-ness. She has shared various things about her life (husband, kids, some past family stuff), but it has always been in reaction to something I was telling her. I once told her that I am extremely boring and have nothing interesting to say, and she responded with "Well, how on earth could we have hour upon hour of therapy if you had nothing to say?" I told her that she did a lot of talking, so that helped, and she replied with "Yes, but I need things to draw upon." I thought about that a lot, and realized she did tell me a lot about her own life, but it was always drawn upon whatever I was saying.