How can I find draft/or enlistment info for my father in WW11?

Mary, the National Archives does have a searchable database (AAD) that has limited information for some WWII enlistments. My dad's information was not in the database, but there was some information for a few of my uncles. It's worth a try to start your search. joan

Here is the AAD page: Online Military Records in AAD | National Archives