Green River is one of those have to places, if you have to, you go to the place.
We have been going through Green River for probably 40 years(We used to stop, not so much in the past 10 years.) It has a decent museum. Somebody said there was a decent hamburger in town, maybe one place, maybe so. Go figure a bar in Utah.
From what I can tell its one of those towns whose best days are in the past.
Good Luck!
Rick