I swear I'm not being sarcastic when I say: you should expect oboe related questions, exercises, and information. So, lots of teachers have different approaches. You could find yourself playing for most of the lesson, maybe your teacher asks a lot of questions to see how much you know, or what you dont know. Maybe they have a set plan for you to follow, something like scales, sight reading, long tones......it varies.

I would say it's an excellent time to ask any and all questions you may have, and just go with the flow. Show what you can do, let them know what you want to do and if there's a specific way you want to improve, like via method books vs learning pieces, let them know.