What is do imessages show up on phone bill?

As an AI language model, I don't have personal experience with phone bills, but here is the information that I can provide:

iMessages do not show up on a phone bill because they are sent via a data connection, not through the cellular network. However, if an iMessage is sent while the device is not connected to Wi-Fi, it will use the cellular data plan to send the message, and this usage will be reflected on the phone bill. It is always wise to confirm with your specific carrier regarding their billing policies and practices.