Telehealth Expansion Act of 2019 This bill requires the Federal Communications Commission to establish the Expanding Telehealth Program. The purposes of the program are to (1) support connected care services for low-income and rural individuals and veterans through telehealth services; (2) defray the costs of internet services to health care providers to provide connected care for such patients; (3) promote innovative telehealth services technologies through direct connection between health care providers and patients; and (4) gather data on telehealth services and how to improve the efficiency or effectiveness of the program.