Wings for Veterans Act This bill directs the Department of Transportation (DOT) to establish a pilot program to award grants to up to 10 flight schools to provide flight training for eligible veterans. Under the bill, an eligible veteran includes an individual who served in the active military, naval, air, or space service and who was honorably discharged, meets the requirements to obtain at least a second class medical certificate, and certifies an intent to pursue a career as a commercial pilot. Flight schools may use grants for (1) the provision of guidance and pilot training services (including tuition and flight training fees); (2) the provision of related books, training materials, and equipment; and (3) program administrative costs. DOT must submit a report to Congress on the program and related issues.