Nerd Reactor reports that Monster Hunter 3 Ultimate will not be able to do split screen on a television via Wii U. It also cannot be played two-player with one Wii U controller and a Pro Controller. However, it can be played with up to three 3DS systems and one Wii U system, and Wii U systems can play online with up to three other Wii U players.
Update Nerd Reactor apologizes if the article title was misleading. The title should have been, "Report: Monster Hunter 3 Ultimate doesn't do split screen or Wii U tablet + Pro Controller." We do not know at this time whether or not Monster Hunter 3 Ultimate will or will not allow the use of the Wii U pro controller. Players cannot, however, use a pro controller and Wii U tablet (two players) on one TV via one Wii U system.