Restore the Tour Act - Authorizes the Secretary of the Treasury to accept gifts of money and other intangible personal property on the condition that such money or the proceeds from the sale of such property be used solely to provide public tours of the White House. Authorizes the Administrator of the General Services Administration (GSA) to accept gifts of tangible property on the condition that such property be sold and the proceeds from the sale be used to provide public tours of the White House.