Pandemic Preparedness, Response, and Recovery Act of 2021 This bill establishes in the legislative branch the Pandemic Preparedness, Response, and Recovery Commission to make recommendations and propose legislation for modification, consolidation, harmonization, or repeal of regulations to reduce compliance costs, encourage growth and innovation, improve competitiveness, and protect public safety. The commission must give priority to regulations (1) the repeal or modification of which may assist recovery or response to the COVID-19 (i.e., coronavirus disease 2019) pandemic and future pandemics, (2) that impose disproportionately high costs on a small entity, (3) that create substantial recurring paperwork burdens or transaction costs, or (4) that could be made more effective while reducing regulatory costs. The bill sets forth reporting requirements for the commission and procedures for congressional consideration of commission reports, recommendations, and proposed legislation.