Global Health, Empowerment and Rights Act This bill establishes that a foreign nongovernmental organization shall not be disqualified from receiving certain U.S. international development assistance solely because the organization provides medical services using non-U.S. government funds if the medical services are legal in both the United States and the country in which they are being provided. Such foreign organizations shall not be subject to requirements relating to their use of non-U.S. funds for advocacy or lobbying activities, other than those that apply to U.S. nongovernmental organizations. Current U.S. policy prohibits various foreign assistance from going to a foreign nongovernmental organization unless it agrees to not perform or actively promote abortions.