Well, obviously he's more intelligent.

In the comics, theres been a few different flavors of smart Hulk. They run the full range from "Literally Bruce Banner but with muscles" to "Complete alternate personality that knows everything Bruce does, but also has the muscles of the Hulk and is totally evil and doesnt like Bruce".

I think typically the smarter Hulks have been portrayed as losing direct slugfests with the "regular" Hulk that most people think of, but are still operating at such a scale that 90% of the time it doesnt even matter. And of course there are exceptions. As with everything comics, theres a lot to unwrap there.