Access for All America Act - Amends the Public Health Service Act to: (1) increase and extend the authorization of appropriations for community health centers and for the National Health Service Corps scholarship and loan repayment program for FY2010-FY2015, and provide for increased funding for such programs in FY2016 and each subsequent fiscal year; and (2) revise and expand provisions allowing a community health center to provide services at different locations, adjust its operating plan and budget, enter into arrangements with other centers to purchase supplies and services at reduced cost, and correct material failures in grant compliance.