Hi,
What I am asking is: if the word school refers to university as well?
Generally speaking, I think the answer is 'yes' in N.America, and 'No' in Britain.
However, again generally speaking, I think the usual construction is something like 'Harvard is a good school', but not 'Every day after school, the Harvard law students all go to the gym'. In other words, there are some idiomatic considerations as to how you use the term 'school'.
Best wishes, Clive