From the pics, it's a little difficult to classify it as a paddle board. Certainly doesn't look much like what I see if I search for "paddle board" or "offshore paddle board".

It's fairly large. There appears to be a hatch leading to an interior space. Presumably that's where he sleeps and stores supplies.

It's really more of a small paddle-powered boat. Given the shape and the ability to seal off the interior, it probably can survive a fair bit of rolling around in a storm.