Community Telecommunications Planning Act of 2003 - Authorizes each of the Secretaries of Commerce, Agriculture, and Education to make grants to a local or tribal government, local non-profit entity, cooperative, public utility, or other public entity for community telecommunications infrastructure planning and market development purposes. Requires, in each case, the development of a telecommunications infrastructure and market development plan. Requires the Secretary concerned to give priority to grants for such planning and development for rural or underserved areas.