Federal Council on Women Act - Establishes a Federal Council on Women to: (1) collect and evaluate information with respect to any problems that are particular to women in the United States; (2) review and evaluate Federal policy related to any such problems; (3) coordinate the activities of the Council with similar activities conducted by States, local governments, and concerned organizations; and (4) make recommendations. Directs the Council to report its findings and recommendations to the Congress. Authorizes appropriations.