From the Celebrity website:
All of our ships have Internet Cafes. Internet access is available in the Internet Café 24 hours a day until 6:00 AM on debarkation Day.
Wireless access points are located in several areas around the ship. To access wireless internet you will need to bring along your own laptop.
In order to take advantage of this service, the guest must bring their own laptop, which must have the following requirements:
• Windows-based operating systems
• Internal modem
• Dial-up Internet capabilities
• Wireless access card.
• Apple MAC default browser (Safari) is not compatible with the Wireless network onboard. Please obtain Firefox or Internet Explorer for MAC prior to accessing the Wireless system onboard.
What about wifi onboard?