Hi there- I've done research on this myself by going to the RC's website- there appears to be internet access. I am attaching what I found, but check it out for youself too.
The cost for Wi-Fi access through your own laptop is:
Base rate is $.50 per minute or choose from one of our prepaid packages:
$25.00 for 60 minutes
$35.00 for 90 minutes
$50.00 for 150 minutes
Or if you don't have your own laptop:
The Internet Cafe/Workstation
These stations provide access to e-mail and the Internet, plus direct connections to favorite websites for stock, sports and entertainment updates. You can also send virtual postcards while at sea, and in ports-of-call worldwide. If you don't have an e-mail account, you can also establish one onboard.
The cost is $.50 per minute or you can choose a prepaid package:
$25.00 for 60 minutes
$35.00 for 90 minutes
$50.00 for 150 minutes
Hope this helps! Have you booked any excursions?