STEM Scholarship Database Act - Directs the Secretary of Education to establish and maintain, on the public website of the Department of Education, a database of information on public and private programs of financial assistance for the study of postsecondary and graduate science, technology, engineering, and mathematics. Requires that such database: (1) provide separate information for each field of study; (2) be searchable by category and combinations of categories; (3) indicate programs targeted toward specific demographic groups; and (4) provide searchers with program sponsor contact information and hyperlinks.