First sessions are usually longer, mine have always been an hour. They will ask questions about your symptoms, history, situation, and what you have tried in the past. They will suggest medications and talk about them. I wish every session was an hour long. :\
Also, you will be inquired about almost every psychiatric symptom for any psychiatric problem. So if you're just depressed and they are asking you questions that sound like they think you're bipolar or schizophrenic or asking about symptoms of panic, that's usual. They just want to check all the bases, it's not that they don't trust you.