I agree with the previous poster that wrote about it feeling like an "invitation" for you to know more about his personal life, and I can see why it would feel dangerous to ask - because it might trigger rejection feelings if he doesn't want to tell you, or if he restricts what you can see. Is it okay to just be aware about your feelings about it and not do anything about that? To just stay curious?

Next session my T is going to be zooming from a different country, and I have all sorts of curiosity about where she will be and who has gone with her. I am generally uncurious (outwardly!) about her personal life, so I don't know how she will respond to questions, if I muster the courage to actually ask her anything.