I am not speaking as a therapist, but I am training to be a counselor so a few things in response to your post:
The notes are simply for him to record his observations of you and the content of what you are saying so that he will be better able to formulate questions and lead you into talking about things that would be helpful for you to delve into. It may actually be harmful to your progress to look at the notes. For example, if he wrote "she keeps her legs crossed and arms folded, probably still guarded"you may get self conscious of that behavior and consciously try to stop doing it, when you shouldn't be self-conscious, because the point of physical cues is so that the therapist can read them to infer your comfort level, among other things.
Also, the discussion about your external, familial relationships is all "part of the process". Usually in an intake, basic family information is collected right away, because believe it or not, it always has an affect (whether positive or negative) on internal processes. Talking about your past and external relationships will be beneficial for your progress in therapy, even though they can be hard issues to talk about.
I think its great that you seem so open with your therapist and willing to ask him questions! Good luck 🙂