My therapist just asked general questions such as what brought me here, what do I want from this session which lead to her asking me how I found school, how long can I remember my GD being apparent, what's my job like, what's my support like. Simply a normal conversation, although she'd pause in between questions when emotional stuff came up to which I had to further explain my feelings. I found that annoying and after 2 sessions we didn't have really anything to talk about to eavh other; although I had to have 4 sessions with her.
What a therapist is really looking for is if you seem mature enough to start HRT as it's a huge change in your life. You've made the choice to see a therapist so I don't think you'll have any problems getting the go ahead for HRT if that's what you want.