Internet at sea?
Simply stated, we really aren''t there yet, technologically. You can have limited web access at a huge price via SatCom. And you can have limited web access in U.S. coastal waters via cell service (e.g. att.net), also at huge cost. 3rd generation cell phones may expand this in time, also not cheaply, but again would only be coastal in use.
The only piece of web access with which I''m familiar for we (economically challenged) mortals is HF email. And usually that only means email that can be routed via the internet. Winlink (the ham HF email system) is somewhat of an expansion on this, as you can access digital files of wx f''casts, wx sat pics, wx wind/wave f''casts, etc. These originate from a wide variety of web and internet sources, worldwide, but are essentially sent as email to you. This service is free, the digital ''packets'' make every image & text file crystal clear & complete, it is hugely useful, and is state of the art today, no matter how stuffy and antiquated the image of amateur radio.