Q: is there a way to keep an eye on a young students phone to make sure she is not doing and going places she should not?

There are some browsers you can find in the App store. I'm guessing you are trying to limit where she surfs the web? Some of the carriers also provide some parental limit controls, but most cost monthly, depending on where you are located. There are also restrictions on the phone in the Settings>General>Restrictions area. Those are also things you can take a look at. The only problem with using the carrier limits is that the device can connect to wifi and that will disable that restriction.