I guess what you mean by "sink in" is a form of deeper more intuitive knowledge. Like when you suddenly figure out how everything is connected.

If that's what you mean, then yes -- this is something that is going to happen over time.

What I mean is that your teacher will want you to understand some concepts and learn some skills before you move to next topic. Very deep understanding is probably not on the list and it is expected to only form over time. But there are topics that are explicitly expected and you have to understand because otherwise what is going to be on the board the next day is not going to make whole lot of sense.