Congressional Health Care for Seniors Act of 2013

Congressional Health Care for Seniors Act of 2013 - Allows access to the Federal Employees Health Benefits Program (FEHBP) beginning in 2015 for persons who would have been entitled to, or could have enrolled in part A (Hospital Insurance) Medicare benefits, or who could have enrolled in part B (Supplementary Medical Insurance) Medicare.

States that a covered individual who elects to enroll in such program shall enroll as an individual and not as self and family.

Bases monthly premiums on adjusted gross income.

Requires the Office of Personnel Management (OPM) to establish procedures to ensure that health benefits plans coordinate with state Medicaid programs regarding cost-sharing and other medical assistance for covered individuals enrolled in health benefit plans who are also eligible for medical assistance and enrolled in a state Medicaid program.

Requires OPM, at the end of each contract year, to identify high risk individuals and pay to a carrier contracting to provide a health benefits plan to a high risk individual 90% of the benefits paid by the carrier for such individual.

Defines "high risk individual" as an enrolled individual who, of all individuals enrolled in a health benefits plan for the contract year, is in the highest 5% in terms of benefits paid by a carrier for the contract year.

Exempts health benefits plans from specified insurance requirements of the Patient Protection and Affordable Care Act.

Amends the Social Security Act to incrementally increase the Medicare qualifying age from 65 years to 70 years, by 2034, plus the number of months in a specified age increase factor.

Sunsets Medicare, on January 1, 2014, with a transition to FEHBP coverage. Directs the Secretary of Health and Human Services (HHS) to make available to states recommendations with respect to specified requirements for health care entities and individuals under Medicare that will no longer apply but that should be considered on the state level.