Fry Scholarship Enhancement Act of 2021 This bill expands eligibility for the Marine Gunnery Sergeant John David Fry Scholarship, commonly referred to as the Fry Scholarship, which entitles specified dependents of service members who died in the line of duty on or after September 11, 2001, to educational assistance under the Post-9/11 GI Bill. Specifically, the bill expands eligibility for the Fry Scholarship to include a child or spouse of a person who dies on or after September 11, 2001, from a service-connected disability within 120 days of being honorably discharged or released from service in the Armed Forces. This expansion of eligibility applies to quarters, semesters, or terms beginning on or after August 1, 2023.