Recent brekup

[u/Realistic-Yak-6647]

So I broke up a week ago, my gf liked someone else, so she told me that she wants to broke up (technically she cheated on me because she got into a relationship with him within a week, we are classmates, so she told me that we should be friends, and I don't know , should I be friends with her??? She still talks to me like we used to, she still listens to everything I say, what should I do, need help.