Speedy Updates Act of 2021 This bill requires the Government Accountability Office to submit a report evaluating the process used by the Federal Communications Commission (FCC) for establishing, reviewing, and updating the upload and download broadband internet access speed thresholds. This report must include (1) how the FCC reviews and updates broadband internet access speed thresholds; (2) whether the FCC considers future broadband speed needs when establishing these thresholds; and (3) how the FCC considers the impacts of changes in the use of the internet when establishing, reviewing, or updating these thresholds.