Commission for Our Veterans' Care Act - Establishes the Commission on Access to Care to undertake a comprehensive evaluation and assessment of access to health care at the Department of Veterans Affairs (VA).

Includes among the matters to be evaluated and assessed by the Commission:

• the appropriateness of the VA's current standards concerning access to health care,
• the measurement of such standards,
• the appropriateness of performance standards and incentives in relation to the VA's current standards for access to health care,
• staffing levels throughout the Veterans Health Administration (VHA) and whether they are sufficient to meet current demand.

Directs the President to require the VA Secretary and the heads of other relevant federal agencies to implement each recommendation that the President considers feasible and advisable and determines can be implemented without further legislative action.