Johnny,
Yeah, that's much more accurate. The real Bane is incredibly intelligent as well as being muscular. He was raised in a prison, training himself physically as well as mentally through his childhood and teenage years, until he was selected to be a test subject for a mysterious drug that had killed all the prior recipients. The drug exponentially increased his strength, but he has to take it every 12 hours to avoid side effects.
His obsession with Batman began with him hearing tales of the Bat in prison. He was fascinated with the fact that Batman rules Gotham City through fear, much like a warden runs a prison through fear. He basically decides, "Hey, I can do that," so he escapes from prison, goes to Gotham, and tries to take out Batman.
In the "Knightfall" arc, he lets all the Arkham inmates loose to wear Batman down. After Batman finally rounds up everyone else, Bane - having discovered that Bruce Wayne is Batman - is waiting for him when he returns to Wayne Manor. The two fight in the Batcave, ending in Bane breaking Batman's back.
The rest of the story gets a little weird, with someone else taking over for Batman while Bane takes control of the city. The faux-Batman gets increasingly violent, until he and Bane finally meet, and faux-Batman cuts off Bane's constant drug supply, leaving him in intense withdrawal as he's taken into custody. I don't remember how Batman recovers, or what happens with the fake Batman.
Anyway, both Begins and TDK were clearly inspired by Batman comic arcs without being direct adaptations, so I'm intrigued to see what twist Nolan puts on the "Knightfall" story (since, really, what other good material can he draw on for Bane?).