Idk about your program specifically, but a first year requirement doesn't mean it has to be taken the first year you start. It often means it's best to take in your first year because it is a prerequisite for second year classes (which may be a prerequisite for third etc.).

As for your summer question: the first summer is like your first year summer, but check what courses are offered in which semester. Sometimes certain classes can only be found in one of the three semesters.