Nuclear Licensing Efficiency Act This bill revises the permitting and licensing process for nuclear production or utilization facilities. The Nuclear Regulatory Commission must follow specified procedures when reviewing an application for an early site permit, construction permit, operating license, or combined construction permit and operating license for a nuclear production or utilization facility. The Government Accountability Office must study and report on the effects of eliminating mandatory hearings for uncontested licensing and construction permit applications under the Atomic Energy Act of 1954. The bill revises the composition of the Advisory Committee on Reactor Safeguards, and provides specific timelines for the committee to complete its review for a construction permit or an operating license for a nuclear facility. The bill also places a limit on the amount of annual fees that may be charged to a nuclear fuel facility, with specified exceptions.