What You Can Expect From Your Counsellor
You can expect someone who is interested in listening to your concerns and in helping you develop a better understanding of them so that you may deal with them more easily and effectively. Your counsellor will take you seriously and be willing to openly discuss anything you wish to discuss. Expect your counsellor to focus the session on you, and not on others. Because counsellors have different beliefs about how people change, they differ on how much talking they do in sessions, whether they ask you to do 'between session work' and their focus of discussion.
If you have any questions about what is going on, by all means ask. Counsellors have no "magical" skills and will be unable to solve your problems directly for you. Your counsellor will want to work with you but will not do for you what you are capable of doing for yourself. Except under unusual circumstances, your counsellor will maintain strict confidentiality about you, and will openly discuss this with you.
Your Responsibilities in Counselling
Your main responsibilities in counselling are to attend your regularly scheduled sessions, talk about what is bothering you as openly and honestly as you can, and complete any tasks or 'between session assignments' you may be asked to do. You are expected to let your counsellor know if you are unable to make it to a session. Most counselling will require you to try something new or a "different approach." Another thing your counsellor will expect is for you to be willing to experiment and try things without jumping to conclusions.
You are also expected to let your counsellor know when your problems have been solved as well as let your counsellor know if you don't feel like you're making any progress. This latter point is most important: your counsellor is most interested in your benefiting from counselling.