If I start seeing a psychiatrist, I'll be in the same position as you. I didn't read my consent form very carefully (...oops) but the first time I saw the counselor, she said that anything I say will be confidential within the center, which implies to me that they're allowed to share information. Actually, my situation is somewhat different because my therapist doesn't have licensure yet, but I know that it's not unheard of them to discuss intakes. I didn't make a big deal out of it because all I really care about is that they don't go telling my parents or my professors, and it might even be an advantage to me if my therapist is getting input from someone else.

So anyway, I guess my answer is, "I wouldn't be surprised if they did." I'd bet that they have to tell you if you ask.