There is an express bus going from the AK to the AKL. Allow 45 minutes to an hour. As a PP said, if you get there early, just explore a little. It's beautiful.
The randomness of WDW transportation is always a factor. The ride itself is very short and the bus doesn't stop anywhere else, so it can reasonably be called an "express" bus - you should be at the lodge in about 10 minutes from the time the bus pulls away from the curb.
However, you could wait anywhere from 0 to 30 minutes for a bus to show up (yes, I waited 30 minutes at AK for a bus to AKL once). You could also find the bus at the stop, but the drivers are changing shifts and the bus waits 5-10 minutes before leaving the stop. That's not a long time unless you are in a hurry to get somewhere.
I would plan for at least 45 minutes, to include wait time, when going ANYWHERE on WDW bus transportation. As the previous posters suggested, if you get there early, exploring the lodge is very enjoyable.
If you don't want to allow 45 minutes, the only short cuts are to drive yourself if you have a car, or take a taxi.
When you leave, you will have to take the bus to either a park or Downtown Disney to switch to a bus for your resort. You won't be able to get a direct bus from AKL to any other resort.