It's one of the many clipper cats that are used to travel up and down the Thames and those with Oyster cards can get a discount. The blurb on the Tate web site here (that includes the timetable) says something about the interior being designed by Damien Hirst, though couldn't see it myself.
On the way it passes a lot of the top 50 things mentioned on my ultimate walk by the Thames but starts a bit further upriver near Vauxhall Bridge. The Tate Britain pier is almost exactly equally spaced between the two British spy centres - James Bond's MI6 in Vauxhall Cross (above) and in the other direction Spooks's MI5 in Thames House.
So behave!