The watch was produced circa 1959, the cal 511 movement has no sweep seconds hand. It has no particular model name, just a gents Omega dress watch, and has a relatively low value compared to more collectible Omega watches because of the gold-filled case, which is not as desirable as stainless steel, solid gold, or gold capped. Also, the spotting on the dial is a condition issue that affects value. And I think it's a relatively small watch by modern standards. Finally, while I don't mind a high quality personal engraving, many people don't like them. These are all considerations that impact value. I'd estimate the value at roughly $200-$300 USD, give or take.
Here is the Omega database page.
https://www.omegawatches.com/en-us/watch-omega-other-omega-ck-14371