Hi bjohnson. Welcome to Air Forums and the Airstream community. You have found and purchased a very vintage Airstream. It is a "13 segment" trailer, likely late 50s or so. 13 segments is how Airstream put together the front and rear "end caps", or spherical front and rear ends of the trailers. There are many enthusiasts of those old style trailers.
One thought is to explore Air Forums in the Airstream Knowledgebase. Find this section of the Forums toward the bottom of the forums page. Click on the mid 50s years and take a look at the different body styles.
You can also the Airstream photos section and again start studying the mid to late 50s trailers.
And here is a vintage Airstream website that I like and find useful. Take a look:
You're gonna have a lot of fun with your old Airstream. Hey, you might enjoy making a thread under "member introductions" and attaching photos of your new old Airstream. I think you would meet more like minded folks doing that.