I've done that entire drive in isolated segments many, many times.
As far as I-80 in Nebraska is concerned, I find it less boring than I-80 in Wyoming, but maybe that's because I do I-80 cross Wyoming more often. I-80 in Nebraska is fairly interesting, but construction is atrocious on it right now, so be prepared for that. I drove from Laramie to Lincoln three weeks ago and it seemed like the whole thing was a construction zone. Hopefully it's better for you.
If you're carrying drugs and see a "Drug Checkpoint Ahead" sign, don't get off at the exit, because that's where the cops wait, and you can continue on if you stay on the freeway. I learned this the hard way- I exited to clinch a spur when I drove 3 weeks ago and ended up having my car sniffed at. I wasn't carrying anything, but I had to awkwardly explain why it was that I exited off the freeway and got a "You've got to be kidding me" look from the cop
Brace yourself for wind on I-80 in Wyoming...winter is starting to pick up and with it the insane winds- drive carefully from Rawlins to Laramie- I did it a couple days ago and the wind is almost back in full force.
I'd say the most scenic stretch you'll hit, IMO, is I-84 from Ogden to I-80.
Laramie has the cheapest gas you'll see- make sure to get off at the US-287 exit and head north about three blocks to the Loaf 'n Jug station on the left- that station usually has the cheapest gas in the state (and therefore what essentially amounts to the cheapest gas in the country). It's $2.22 right now.
But I-80 in Nebraska, to me, is fairly entertaining. There's enough truck traffic that the drive is mentally stimulating, so I don't see any issues with it. But Nebraska is a really long state, so it feels like it takes forever, and the fascination of Nebraska's unique signage wears off pretty quickly.
I think a lot of the bad rap Nebraska gets, particularly for eastbound travellers, is that you've already driven 400 miles of boring Wyoming, and then you have another 450 miles of fairly boring Nebraska. If I had to choose though, I'd drive across Nebraska before I'd drive cross Wyoming or cross Idaho east of Mountain Home every day of the week