Of course! It's very simple. You just head out to the normal passenger pickup are and go to either end, rideshare is only supposed to pick up in those areas. When you request an uber I'm the app, it will ask you which end you are on. When you open the uber app, there will even be a message telling you where to go for that airport. The app will tell you the drivers name, car type and color, and license plate number. You can also watch their progress on a map. If you just start typing in Walt Disney World Dolphin as your destination it will come up in the list.
Typically we take an uber x for 2 people plus luggage, usually 3 carry on size bags. It runs around $30ish and I usually tip $5 or $6, unless our driver is really great (especially as we normally are late arrivals). They'll take you right to the drop off for the Dolphin.
One other thing, Lyft works the same. So unless you are trying to use some uber credits, I would set up accounts with both apps. Then if you run into surge pricing on uber, you could try Lyft. Or even just compare pricing before you choose upon arrival at MCO. Both will give you a fare estimate once you put in your destination. I've only run into surge pricing in Orlando twice, both times it was after midnight, but also both times Lyft did not have surge going so it was half the cost.