Apprenticeship Program National Scorecard Act This bill provide for data collection and dissemination of information regarding certain registered apprenticeship programs, youth apprenticeship programs, and pre-apprenticeship programs under the national apprenticeship system. Specifically, the Department of Labor is required to (1) establish and support a single information technology infrastructure to support data collection and reporting from state apprenticeship agencies and offices, grantees, program sponsors, and program administrators under the national apprenticeship system; and (2) provide that such infrastructure best meets the needs of the system's stakeholders reporting data to Labor or state apprenticeship agencies, including through technical and financial assistance to ensure reporting systems are equipped to report into a single information technology infrastructure.