Vieques Recovery and Redevelopment Act of 2020 This bill provides a framework to compensate certain residents of the island of Vieques, Puerto Rico, for the use of such island for military readiness. The bill sets forth provisions regarding award amounts for individuals and for claims by the municipality of Vieques. An individual claimant shall be awarded monetary compensation if the claimant contracted a chronic, life threatening, or physical or mental disease or illness, during or after the government used the island for military readiness.