My ex girlfriend contacted me after 2 months, need advice what to do now?

I don't understand why you are confused as to why she contacted you. According to you, you contacted her first to send sympathies for her Gran's death (which was a nice thing to do). Since then, it sounds like just general friendliness. Unless she suggests meeting up, it sounds as if she is just trying to be no more than friends. It is hard to get over a first love, but give yourself time. Go out with your friends to take your mind off it.