Can bill holders find out what websites you went to on iphone?

Lets say i was on a website my parents wouldnt aprove of (grasity.com lol). I was on 3G. Can they find out i was on certain websites. Btw i have private browser in iphone settings. And i have verison.

God i would hope not.

If they went into your data usage, then yes. There's a detailed list of everything you went on. If you use Wi-Fi, they can't track it through Verizon.