I'm a huge fan of Gibson. I've read "Neuromancer" and "Count Zero", just about to grab "Mona Lisa Overdrive". In case you don't know, this author invented a genre called "Cyberpunk". Without him, I doubt films like "The Matrix", "Ghost in the Shell" and "Akira" would exist...
Gibson's "Sprawl" world is essentially the world that we live in today, twisted back on itself. In this dark future, frightening scientific possibilites that we see today exist everywhere, and corporations have more power than governments.
I should point out that the books contain mature themes (think 1984 kinda levels). However if you can handle that kinda stuff, it is a must read. Gibson is a very fast paced writer and has a talent for describing things in great detail using only a few sentences. He invents new words and knits sentences together in ways that will send shivers down your spine.
In the future (give about 20 years) I suspect that schools will start using these books in classes -- it's that kinda writing.