If it's your first therapy experience, it's natural to be nervous before the first session. I'd suggest that you be as direct as possible and state your issues to the therapist exactly as you did here on the forum. I also highly recommend to set the goals for the therapy and to communicate them to the therapist as clearly as possible. Then let the therapist to take it from there. He or she should explain the therapy process to you and his or her professional policies. You can ask any questions you want pertaining to the therapist's professional experience and training and they should answer your questions. That's pretty much all you'll need for the start. Then the process will unfold by itself naturally.

$10 per session is dirty cheap. In the US the cost of seeing a therapist in private practice varies somewhere from $75 to $250 per therapy hour (which is often 45-50 min). But from the way you write I get an impression that you are not in the US, and I have no idea what therapy costs in other parts of the world.