Alaska Native Claims Settlement Act Fulfillment Act of 2020 This bill requires the Department of the Interior to convey specified surface estate to certain Alaska Native village corporations, allows the reversion of municipal land to village corporations, and permits the Alaska Native residents of certain Alaska Native villages to organize as Alaska Native urban corporations and to receive certain settlement land. In addition, the bill excludes certain settlement trust payments to an Alaska Native or descendant of an Alaska Native who is 65 years of age or older for purposes of determining the individual's eligibility for need-based federal programs (e.g., the Supplemental Nutrition Assistance Program).