To "move on" from an experience means to stop thinking about it, and start doing other things instead. Some examples:

Clementine's husband passed away two years ago and she still hasn't really moved on.

OK, if everyone's clear on that, let's move on to the next topic.

You use the words "from" and "to" with "move on". You "move on from" the experience that you had before, and "move on to" the next experience:

Some people never really move on from their high school glory days.

I've been working there for over five years, you know? I'm ready to move on to bigger and better things.