The Sequester 2013 specifically exempts all White House personnel and operations, including all the people involved with the White House Tours, a seven person office, with volunteers who lead the actual self directed tours.
The Administration has gone far out of it's way to punish families of tourists, many of whom planned their travel by reserving a White House Tour, arranged through their Congressional Representatives offices over one month in advance.
Schoolchildren sold candy and collected from neighbors and parents to facilitate their Spring visits to their Nation's Capitol, and this is how the President chooses to inflict pain and spite citizens, and Congress.