Ensuring Seniors' Access to Quality Care Act This bill repeals certain restrictions under Medicare and Medicaid that prohibit the approval of nurse-aide training and competency evaluation programs in skilled nursing facilities that have been subject to specified regulatory actions (e.g., civil penalties) for substandard quality of care. The Centers for Medicare & Medicaid Services (CMS) must still disapprove such programs for up to two years; however, the CMS must rescind the disapproval upon completion of corrective action and may require additional oversight of the program for purposes of rescission. The bill also allows Medicaid and Medicare providers (e.g., skilled nursing facilities) to access, through the National Practitioner Data Bank, disciplinary information for affiliated physicians and other health care practitioners, as reported by state licensing authorities.