I was uncomfortable before going the first time. And then I was late due to bad address/directions, which made me even more stressed. I had written out an "about me" essay for my therapist to read first, because I communicate much better in writing than talking in person. She read it and it helped us get started as a launching place.
I don't remember a lot of what we talked about, but I felt silly for having been worried. My therapist has a lot of experience with trans men and women, so she was cool. I know my therapist spent a lot of time telling me the downside of being trans, but that wasn't all we talked about. I also know that I felt pretty good about how direct she was and easy to talk to, even if I felt a little like she was talking "down" to me that first time. I didn't feel that way the second time onward, so I think it was just the getting to know you stuff, and her telling me a lot of things I already knew.
A good therapist won't tell you what you are, certainly not after a first session. If she says, "oh, you're just a confused girl," then you can be annoyed you wasted your time, and then go see someone else.
Also, the thing about talking to your parents? That's something to separate from the therapy session. You don't have to tell them on Monday if you're not ready. In fact, you can use therapy to figure out when to tell them.