Government Waste Isolation Pilot Plant Extension Act of 2013- Directs the Secretary of Energy to manage the Waste Isolation Pilot Plant (WIPP) in such a way as to include the transportation and disposal of any non-defense federally-owned transuranic waste meeting certain criteria described in the document entitled "Transuranic Waste Acceptance Criteria For The Waste Isolation Pilot Plant," published by the Department of Energy (DOE) on April 21, 2011.