I didn't have any intake work the first time I went either. I was just asked questions about myself and she took some notes (she hasn't taken notes since the first visit). When I was asked the questions, I did give very this-is-it, no frills, type answers. There was not any trust yet built, so I think giving pretty standard answers is expected.
I am big on first impressions and whether or not I 'click' with someone. I was lucky enough to click right away with my current T and, in turn, she felt a connection to me as well. I have since been with the therapist for 3 years and I do trust her and it took me a lot of time to get there, but she was patient. I am glad that I stayed with her and trusted my gut feeling that she could help me and that she trusted her own when she felt like she would have a connection to me.
There have been therapists in the past that I have only seen once or twice before quitting. Sometimes it was because their office was messy or I didn't like the way they spoke to me or just that I didn't feel like they were 'right' for me.
I think clients are usually able to get a good idea of whether or not they have a connection with a therapist within a few visits.
I hope you have a good first visit.