"Is there much to do/see outside the resort?"
Resort is located on Bloody Bay side of 7 Mile Beach. A short taxi ride to Cosmo's will start you on a 4 mile walk to "downtown" Negril. Along the way are numerous bars, restaurants and hotels. Also a million vendors.
A "must see" for first time visitors is Rick's Café. Located on the cliffs on the south end of Negril, it's a tourist trap, but does an amazing business near sundown, when it provides a great view. There are also cliff divers that put on a show.
If you can overcome sand gravity, there are other trips from a couple hours to all day that will allow you to see YS Falls, Pelican Bar, golf at Negril Hills golf course etc ets etc.