Government Surveillance Transparency Act of 2013 - Amends the Foreign Intelligence Surveillance Act of 1978 (FISA) to authorize an entity that is required to comply with an order or directive issued by a FISA court under such Act to make publicly available every 90 days with respect to the preceding 90-day period: (1) the aggregate number of orders or directives with which such entity was required to comply; (2) a general description of the types of assistance, information, or tangible things such entity was required to provide pursuant to such orders or directives; (3) the aggregate number of each type of assistance, information, or tangible things such entity was required to provide pursuant to such orders or directives; and (4) the aggregate number of user accounts with respect to which such entity was required to provide assistance, information, or tangible things pursuant to such orders or directives.