Yes, University is listed a a pre-career event, so when you get to your career you would get the basic training.
The military academy gives you all the service branch skills at level 0, and if you actually enter that branch as your following term you increase 3 of those skills to level 1.
Seth Skorkowsky did a youtube video of character creation and covers time spent in university, and gives a good overview of making a character. It is a video worth watching.
https://www.youtube.com/watch?v=LEwwopcCONY&t=1443s