Grant Residency for Additional Doctors Act of 2014 or the GRAD Act of 2014 - Directs the Secretary of State to designate a Department of State officer or employee whose sole responsibility during the months of March, April, May, June, and any other period of time as determined by the Secretary, shall be to facilitate the expedited review of J-visa applications of aliens applying for U.S. admission to participate in a program under which they will receive graduate medical education or training.