The US Department of Veterans Affairs works with the Centers for Disease Control and Prevention (CDC) and other federal partners to provide COVID-19 vaccines to eligible Veterans and family members at no cost.
 
Veterans who have established VA healthcare can call the facility where they receive treatment for information about getting a COVID-19 vaccine.

Here are the numbers for some regional facilities:
Auburn: 530-889-0872
Mather: 916-843-7000
McClellan: 916-561-7400
Reno: 888-838-6256

Check this page often for updates: https://www.va.gov/health-care/covid-19-vaccine/