And, the impeller will unscrew. They sell splined tools that hold onto the front of the shaft and depending on the impeller, you might need a tool for that too, or it might have a hex built onto the end. If it's been on there a while, it might be a bitch to get off. Will probably take some heat, but try dripping some heavy duty penetrating oil like Liquid wrench, or PB Blaster down the snout of the impeller and let it sit for a while.
Check the bearings too. They are available cheap, and after the impeller is off, the shaft slides out the back where that cone is. I got new bearings for my Super Jet for $10 each. Dealer wanted around $40 each.
BTW, that stator (finned part) looks like a Yamaha part, I can't tell from the picture, but the pump housing might be as well, or a special Wet Jet part, or some custom part made just for this application.