Monitoring iPhone Internet traffic

I’m considering whether or not to get my daughter a smart phone, likely an iPhone. I’m wondering what resources are available to monitor Internet traffic. I’ve got the skills to do that for traffic that crosses my home network, but I’m curious what can be done to track usage carried by the provider. I called Sprint and they dont have any options available. Most of my Google search results are focused on apps to track how much usage rather than sites visited, etc.

Mostly I’m interested in getting a list of web sites visited, not any in-depth keyword reports or anything like that. Just something to support my trust and verify approach.

Does anyone have specific information on whether this can be done easily?

Verizon has parent controlled content filters.