Veterans Health Equity Act of 2009 - Requires the Secretary of Veterans Affairs, with respect to each of the 48 contiguous states, to ensure that veterans eligible for hospital care and medical services through the Department of Veterans Affairs (VA) have access to: (1) at least one full-service hospital of the Veterans Health Administration in the state; or (2) hospital care and medical services comparable to that provided in full-service hospitals through contract with other health providers in the state.