Can I use this for my audition for a college taking Performing Arts?

Lovely piece, but it has two characters. That's not, strictly speaking, a monologue. On the other hand, Shakespeare is public domain, so if you want to cut Prospero out, or have Ariel react to his unspoken lines with a quick, "Say you, I am a fool," or play both parts like you were remembering what Prospero said to your early (and now you are thinking about it) that's okay. I'm sure you'll do great. It's about pion and you have that. Break a leg.