Digital Equity Act of 2021 This bill requires the National Telecommunications and Information Administration to establish grant programs for promoting digital equity, supporting digital inclusion activities, and building capacity for state-led efforts to increase adoption of broadband by their residents. Specifically, the bill establishes the State Digital Equity Capacity Grant Program to make distributions to states based on their populations, demographics, and availability and adoption of broadband. The bill also establishes the Digital Equity Competitive Grant Program for supporting efforts to achieve digital equity, promote digital inclusion, and stimulate adoption of broadband.