Guard and Reserve Readiness and Retention Act of 2005 - Makes an individual eligible for retired pay for non-regular (reserve) military service if such individual: (1) satisfies one of specified combinations of minimum age (between 53 and 60) and years of service (between 20 and 34); (2) performed the last six years of qualifying service in currently authorized categories of military service, but not while a member of a regular component, the Fleet Reserve, or the Fleet Marine Corps Reserve; and (3) is not entitled to any other retirement pay from an armed force or as a member of the Fleet Reserve or Fleet Marine Corps Reserve.
Authorizes a member of the Selected Reserve to enroll for self or self and family coverage under the TRICARE program (a Department of Defense managed health care program).