@Trila ... Hey there. As a retired Navy Chief, I respect your dad's service with all my heart
The image features a man in a US Navy sailor's uniform, consistent with the style worn in the 1950s. He is positioned in front of a large, multi-story brick building with an institutional architectural style, notably featuring a prominent arched window. The number "310" is clearly visible on a sign within this large window. This specific building, identified as Building 310, is historically recognized as a barracks and training facility at the Naval Training Center Great Lakes (now Naval Station Great Lakes) in Illinois. This facility has served as the primary recruit training command for the US Navy for over a century. The combination of the uniform, the distinctive architectural style, and the specific building number "310" strongly indicates Naval Training Center Great Lakes as the location, perfectly aligning with the photo's 1952 date.
Furthermore, the lack of patches on your dad's uniform indicates to me that he was in recruit training when the photo was taken. Had he been assigned to a ship or shore station at the time the photo was taken, he would have a black patch (rocker) with white stitching on the top of his right shoulder that would have the name of his duty station on it. So to me, he clearly looks like he is a recruit in training when that photo was taken.
My dad went through recruit training at Great Lakes (Great Mistakes LOL in some sailor's jargon) in 1949 and I still have his book from there. I will dig the book from a closet today and see if I can find an image of building 310