Private College
Private University
noun
You've seen 私立, which is "private," and you've seen 大学, which is "college" or "university." So, combine them together and you have a private college / private university.
If you know the readings of the words 私立 and 大学 you'll be able to read this. It's also all jukugo on'yomi readings too, so you can read it that way.
私立大学に入学する
to be admitted to a private university, to enroll in a private university
私立大学に行く
to go to a private university
私立大学に入る
to get into a private university
私立大学に入学したいです。
I want to enter a private university.
有名私立大学を出れば、きっと上手く生きていけると思ったんです。
I thought I'd be able to make a good living if I graduated from a well-known private university.
私立大学の学生は外国人も多いです。
Private universities have many foreign students as well.