Search "the name of the state you worked in + unemployment", and you should be able to find your state's department that handles unemployment. On their webpage they will have a link to file a claim.
As long as you're honest it never hurts to file a claim, they worst that they can do is deny you.
However, you have two major hurdles to being approved.
1. You are in school, most states require that you be able and available to work in order to qualify for a claim. If unemployment deems you unable to work while attending school then you could be denied.
2. Generally when you quit a job, the reason for quitting must be in some way attributable to the employer. Quitting in order to attend school is in no way attributable to the employer.
As I said. It does not hurt to file a claim as long as you're honest. I would not get your hopes up too high though. A better route for you will probably be grants, loans and scholarships.