First lesson was downright eye opening. My teacher got her Ph.D. from a conservatory in Vilnius, Lithuania, and taught and performed there before coming to the states. I don't know if this is the "Russian school" or not, but she is very much focused on technique and found several things that I need to work on and provided me exercises to do so. I also learned today what people have said about blindly doing Hanon - she actually did assign me some Hanon but it's not like I've ever played it. She doesn't care which exercises I do, as long as I follow her instructions for the technique she wants me to work on. There were also several exercises to do with scales that made me feel downright stupid doing them. I can play virtually all scales at 120bpm, but it turns out varying tempo, and dynamics I fall all over myself playing it at 60. That both surprised and embarrassed me a little bit.
As far as pieces to play, she asked me to pick something a little simpler than what I have been working on and play it. I chose Mozart's K545 sonata, because I play it well (imo) but knew there was a spot or two that could probably be improved. Turns out almost the entire thing can be improved, that it's not as performance ready as I thought, and that is our first assignment.
I think going forward I'm going to have to revisit the material that I have self taught myself and clean that up before we tackle brand new pieces.