That would be a pegasus. We're relatives, and sometimes pegasi can be born from unicorns or vice-versa, but we differ in many ways. Of course, an Alicorn combines the traits of both and those of earth ponies, but unless you encounter one of the Princesses you won't meet one of them.

Which is a pity. I think you and Princess Celestia would get along quite swimmingly. Probably Princess Luna too, and I don't think anyone could dislike Cadence.