Fetching details from the dictionary...
private (non-governmental) school (college, university)
多くの学生が私学を選ぶ。
Many students choose private schools.
私学は公立と違い独自の校風がある。
Private schools have their own culture, unlike public ones.
子供を私学に入れるかどうか迷っている。
I'm on the fence about whether to send my child to a private school.