having dealt with someone that has had this problem to a major extent, i have a couple of tips for you. first of all, make sure she doesn't have a really good reason for getting rid of the hair. i knew a girl whose parents were really strict and would not let her eat meat, cut her hair, or shave any part of her body. she probably has had the most miserable life in high school that anyone could imagine. make sure that this girl does not have this problem before hinting it to her.
one solution to the problem however, is a slight twist on what someone else said. instead of getting her a razor, get her a wax strip or something like that. and do it anonymously, maybe sneak it into her locker or something? maybe include a little advice like, use ice first so it doesn't hurt. good luck man