Nursing programs require clinical hours. Sometimes these hours are paid, but often they are not. They are actually part of your schooling, you pay for the credits you earn during this time just as you would any other class. As far as medical school goes, you're first year out can be referred to as an internship, or of 1rst year residency. Residencies are paid, but usually not much (around 40k a year), which is a pittance when you consider the hours you will be working.
If you are looking to make some money while going to school, and would prefer to earn that money while getting hospital experience, I would suggest looking into programs like EKG tech or phlebotomist. The training for either is like 6 weeks and most community colleges offer it. That will allow you to work at hospital for actual pay, and as a bonus, many hospitals offer tuition reimbursement for employees - (especially ones going into nursing)