Yes, parents can see messages on their WiFi bill. Depending on the type of message sent, the details may be included in a data usage report or itemized phone bill. For example, if your family is using a text messaging plan to stay connected with friends and family members, then these details will show up as individual texts listed by recipient's name or number and date/time of each message. Additionally, many internet providers offer detailed reports that list every website visited and how much time was spent there so it’s possible to monitor where children are going online and what they are sending out over the internet.