Global Democracy Promotion Act - Declares that foreign nongovernmental organizations: (1) shall not be ineligible for assistance under the Foreign Assistance Act of 1961 solely on the basis of health or medical services (including counseling and referral services) provided by them with non-U.S. government funds if such services do not violate the laws of the country in which they are being provided, and would not violate U.S. federal law if provided in the United States; and (2) shall not be subject to requirements relating to the use of non-U.S. government funds for advocacy and lobbying activities other than those that apply to U.S. nongovernmental organizations receiving such assistance.