A job at a fast food place is unlikely to help you but, generally, employers expect that someone who's graduated from nursing school
(or any college program) has held some kind of job in their lifetime. I went directly to my BSN program from high school and graduated/became a nurse at the age of a typical college graduate and I still had plenty of work experience to put on my resume. I just don't get how someone can get to the point of being a college graduate and not have any work experience. That's why something like a job in retail or at a fast food joint won't really help you... because just about everyone has had a job like that in their lifetime.
Try to get a job as a nurse's aide if you can- that is always helpful. If you can't find that, even answering the phone in a doctor's office will give you experience working with patients.
Though, if a hospital job listing says EXPERIENCE REQUIRED, they don't mean any job experience they mean NURSING experience- as in, we are not considering new grads for this position.