Thanks for the advice.
It was a nice cool morning today so I took it out for a ride and remembered why I bought it. It is a very nice ride. It's certainly fast enough for my 50+ years.
It's been kept in the house all these years so everything is still good, including the tires, no weather checking at all, just a very small tear on one of the hoods. Shifting was still smooth and pretty accurate, and it wasn't too long before I figured out the best gears for me.
I found a vintage Trek website, and it is, as I thought, a stock build. The specifications match the bike components perfectly. Because everything works, at this point I don't see the need to replace anything, at least not till something wears out or breaks. Except for maybe the Brooks saddle. That seemed less comfortable than I remember.
Here's a picture. (I removed the front rack)