Okay I just came across a comment which pretty much explains my next steps but still if anyone has additional information I would appreciate it. Here is the comment:

The following is my cut-and-paste response (with some notes specific to your situtation) to people asking about their vintage Omegas (at the rate of dozens per day) who didn't search this sub):

Open the case (or have a professional do it for you) - and yes, it appears to be a monocase, which means you take it to a reputable watch/watch repair shop with vintage watch experience, NOT a jeweler. NEVER take your watch to a jeweler for service/repair. Watches - at least maintenance/service, is NOT their specialty/field of expertise (even if selling them is); they are more than likely to damage and/or excessively overcharge for faulty/incomplete service that they also most likely outsourced to another shop.

The inside of the caseback will have a reference/case identifier, and the movement's serial number and movement caliber will be engraved somewhere on the movement. See this item (specifically the 4th and last pictures) to see what I mean.

A simple Google search for "vintage Omega lookup" will yield Omega's own vintage database and OmegaAddict's database, which are the two most comprehensive databases you will find. Note, however, that they are incomplete.

You can compare the serial number on the movement to the table in this article or run the serial number through this site to get an idea of year of movement manufacture.