Government Customer Service Improvement Act of 2013

Government Customer Service Improvement Act of 2013 - Requires the Director of the Office of Management and Budget (OMB) to develop government-wide standards for customer service delivery, which shall be included in the Federal Government Performance Plan. Requires such standards to include: (1) government-wide goals for continuous service improvements and efforts to modernize service delivery; and (2) government-wide target response times for telephone calls, electronic mail, mail, benefit processing, and payments.

Directs: (1) the Chief Performance Officer for each executive agency to establish customer service standards in accordance with such government-wide standards, which shall be included in Agency Performance Plans; (2) the Performance Improvement Officer for each agency to collect information from customers of the agency regarding the quality of customer service provided; and (3) the Director to include agency achievements in meeting such standards and customer service performance measures in each required update on agency performance.

Requires: (1) the Director to establish a two-year Service Improvement Unit Pilot Program to provide assistance to agencies that do not meet such government-wide standards, and (2) the Administrator of General Services (GSA) to provide administrative and other support to implement such Program.

Requires the Director of the Office of Personnel Management (OPM) to: (1) submit to Congress and the Comptroller General (GAO) and issue publicly every month a report on information submitted by each federal agency regarding its employees who are retiring and pending applications for retirement benefits, (2) establish a timetable for completion of OPM's retirement systems modernization project and a deadline by which all federal payroll processing entities will electronically transmit all personnel data to OPM, and (3) include in each annual budget request a statement on OPM's progress in completing such project and resources needed to implement it.