That's not to say it isn't good - though that last bit with face-painted Caesar works a lot better in 3D. It's just to say that when I wait this long, I expect a tiny bit more.
At any rate, aside from replacing desert with rainy forests, it looks like we're following the original template somewhat - ape rebellion kicked off the apocalypse, virus continues it, then humans make war on themselves just as a kicker. I'm guessing Jason Clarke scored the John Connor role in the new Terminator based on playing another post-apocalypse leader here, because Hollywood is imaginative like that.
A growing nation of genetically evolved apes led by Caesar is threatened by a band of human survivors of the devastating virus unleashed a decade earlier. They reach a fragile peace, but it proves short-lived, as both sides are brought to the brink of a war that will determine who will emerge as Earth's dominant species.