I had a similar situation with a girlfriend of mine. We were fuck-buddies at first. And later on she told me she had some on the side during that time. Since I was fucking other chicks as well I didn't get mad at her. Otherwise it would have been a double standard. I accepted that she is a sexy beast like myself. It wasn't until much later that she started acting a little fake. I know she is still the sexy kitten I met, but she sort of tries to hide it since we are in a relationship now and it just makes me sad. But I'm working on it.
So if you guys had an explicit deal of monogamy then of course You hearing about her escapades requires swift action from Your side.
Couple of options:
1) Break it off with her without giving her a choice. If You feel like she really screwed You over.
2) Suck it up. I personally don't recommend it. This will kill Your self-esteem like a head-shot.
3) Give her a choice. You keep dating her as long as she is fine with You having sex with other girls. If she says yes, it is important to actually keep Your promise and go out every now and then. To meet other girls.
Now if you guys were not monogamous. Just FWB or sex-buddies. In that case she did nothing wrong. She is a regular girl. Not a fairytale unicorn.
Options:
1) If You still have a problem with her screwing around while You are in FWB/FB relationship then You have to deal with Your own issues. Best practice is to go out and get some. There is nothing better than another woman to get Your mind off of things.
2) If You realize that it is a double standard and can make Your peace with that then I suppose keep having fun with her. I see a great opportunity for some kinky sex. You can even ask her if she'd be ok with another girl joining in
I also second Hector's advice on being honest. Although I'm not sure if telling "Hey I've realized I've been imposing a double standard on You. My bad. Let's forget about it and keep having fun." would work.
I think I see some deeper feelings behind Your question but I might be wrong. So whatever You choose - it is easier said than done. But You don't get to be a seasoned man loved by women without making some hard decisions first.
Never get lazy
T