You mean you don't have a cell phone bill.
You can still go to the iLounge and use your free minutes on the computers in there like the old days.
Wi-Fi is available throughout the ship and you can use your Elite free minutes to access it or purchase an unlimited Wi-Fi package with a loyalty discount. As long as you log in to the Wi-Fi one device at a time, you can use your package or free minutes to connect your laptop, iLounge computer, iPad, etc during the cruise
If you bring your laptop, you simply need to connect to the ship's Wi-Fi which will bring you to a login page. With your purchased Wi-Fi package, the log-in process is pretty trivial. You do not need to download anything in advance.