That type of power is very common on larger boats. The shore power is 50A, 240/110V where two legs of 120V combine to provide 240 as you describe. Most boats do not use the 240 unless they have a really big A/C, but divide the 240 into two separate 120V circuits that each power a panel of 120V breakers, some of which feed the A/Cs.
This type of power supply works with a dock with the required 50A power outlet, but can also work with an older dock with just 30A single phase power. You use two separate 30A outlets that are combined in a Y adapter to feed the boat. If the 30A outlets are on separate phases they can also be used to produce 240V but like I said, most boats don't use it.
If you only have one 30A shore power outlet then with a proper adapter you can hook up to the boat's power inlet, but usually you can only power one of the two legs of power. I haven't seen it done, but theoretically you could power both legs (as long as there isn't a 240 circuit on board) but be limited to 30A total.
Wow, I am tired of writing. Like I said that power arrangement is very common and more marinas are offering 50A/240/120V outlets.
David