Yes Go to Celebrity website FAQ at bottom of page it's all there $0.65 per minute.
All celeb ships fitted with wi-fi throughout. There are computers spaced about plus computer classrooms, where classes are run, but if you took your laptop it would have to be registered with the IT section to give you access. Cost around 50/75 cents per minute but you csn buy bundles of minutes to help reduce the cost.
There is an internet cafe on the Promenade deck on Summit.