No, internet history does not show up on your phone bill. Your phone bill will only list charges related to your mobile carrier's services, such as data usage and voice calls. It will also include any other fees associated with the service. Since internet activity is not a part of the chargeable services provided by your carrier, it won't appear on your monthly statement. However, if you use an app or website that requires a direct purchase from within its system (like buying virtual items for a video game), those purchases may be listed in the Other Charges section of your phone bill.