In the OP's defense, when AKL was first built, I thought that they shared the same property (after all, they have the same name)!
Anyway, the Animal Kindom Lodge has a savanna with animals but that savanna is not connected to Animal Kingdom (the theme park) in any way. It has its own barns and the whole bit. There is no admission charge to look at the animals at the resort (though there are some tours that do charge admission).
To get to the Animal Kingdom theme park from the Animal Kingdom Lodge, you have to take Disney Transportation bus or drive into the the theme park parking lot just like any other theme park (MK, MGM, Epcot
I don't have a photobucket account so take a look at the map below (satellite view preferably).
http://maps.google.ca/maps?f=q&sour...113,-81.595931&spn=0.016938,0.026071&t=h&z=16