Joe enlisted in the Navy 29 October 1957. He completed his training at the U.S. Naval Training Center, Great Lakes, Illinois on January 23, 1958. This is a photocopy of his class. I have no idea who any of the other sailors are, but he is the one standing in the front row 4th from the left.
Maybe someone else can identify them.
I did discover that the training center published a yearbook called Keel and you can see some of them online.