Would I be an employee or a student?
You'd be an employee, spending about 80% of your time with your employer. You'd spend the rest of your time with a university or college. You'll be enrolled in your university or college, so you can access facilities and benefits the same as any other student.
Your employer and the university or college providing the course decide the exact split between work and learning. Some employers will send their apprentices to university or college one day a week, but others might decide on online learning, or blocks of learning for several weeks throughout the year.