I'm not sure about internet access in the resorts themselves (aside from dialing in from a laptop...), but I do know that there are internet kiosks in certain places in the parks where you can get internet access for a certain rate (I did it to check my grades a year ago-- it wasn't that expensive). That one was in MGM by the Who Wants to Be a Millionaire attraction, but I think they are shown on the park maps designated by a little computer.
As for the resorts, I think the AKL had a business center in the lobby where there was internet access, but I'm not sure about POP!