Global Small Business Network Act This bill authorizes the Department of State to establish a Global Small Business Network grant program to facilitate exports by U.S. small businesses. Specifically, the State Department may award grants to institutions of higher education and nonprofits with experience in operating or working with U.S. small business development centers to (1) assist national and local governments of foreign countries with creating small business development centers, and (2) promote commerce between small businesses in the United States and the foreign economies participating in the program.