You can ask the doctor directly what the laws and rules are for you specifically, so you go in knowing ahead of time what the consequences of talking about your problems will be. I'm pretty sure that if you are under age then your parents have a right to ask what was discussed during your sessions or to see your medical records.
However,there are laws regarding putting someone in an institution or requiring them to seek treatment, the law for that states that you can't make someone do it against their own free will. You should seek help when you feel you need it, because it is for your own benefit to do so.