Welcome aboard, Carol! It sounds like you're planning for an exciting cruise on the Disney Wonder! There is so much to do and see onboard that ship, you're going to have a fabulous time!
There is
wireless internet access onboard the Wonder, yes. Access is now shipwide and available in all staterooms. Guest services can provide you with a paper explaining how to log in and choose your pricing option. Keep in mind a few things though. You will be in the middle of the ocean, so don't expect fast downloading. It is pretty slow, but again, you're in the middle of the sea so it's pretty amazing that internet access is available at all, right?
The pricing plans are hefty, so you should know that in advance. If you don't need to access the internet, you might want to go without it for a week. My family loves to lock away our electronics onboard, as it can be one of the only chances our family gets to really unplug and live in the moment. But I understand that you might need to get online for one reason or another, so if you must access the web, here are the available packages:
Time Plan 1: 75 cents per minute
Time Plan 2: 100 minutes for $55
Time Plan 3: 250 minutes for $100
Time Plan 4: 500 minutes for $150
These prices are always subject to change, but this should at least give you a good idea of what to expect.
Have a very magical cruise, Carol!