Veterans Nutrition and Wellness Act of 2025This bill requires the Department of Veterans Affairs (VA) to establish and implement the Food is Medicine pilot program, under which the VA must provide medically tailored meals and groceries, nutrition education, and cooking classes to certain veterans who are enrolled in the VA health care system. Specifically, the program is for veterans enrolled in the VA health care system who receive VA care for (1) multiple chronic conditions, or (2) maternal health and are at risk of preeclampsia or gestational diabetes.The three-year pilot program also requires the VA to (1) develop and seek to implement training programs for VA health care providers in integrating the program into the treatment plans of veterans, and (2) seek to collaborate with community-based organizations to procure locally sourced produce and expand the availability of medically tailored meals and groceries.