I'm sure your friend is telling you the truth about having had an eating disorder. However, I'm sure it is safe to assume that she is still struggling with it. Relapses usually happen after a person is over the main part of the battle. It could happen just one time months after she stopped. You never know.
You cannot judge her on this. IF she is strong enough, she will get past it. If not, then there will probably be other signs, in which case you can confront her about lying. Until then, the best thing you can do is be there for her. Tell her you're there if she ever needs to talk (about anything at all), that she can trust you not to tell anyone (this is very important), and let her know that she is beautiful the way she is.
What she needs most is a friend who will support her and love her. I know this from experience.