If you come to Alaska and already have a driver’s license issued by another state in the US, you will not have to redo the driving test for Alaska. When you go to update or replace your state license, you will have to repeat the written test, however.
For some state benefits, you will want to switch your license over sooner rather than later. Visitors to the state and those with permits from other countries are allowed permission to drive for 90 days before being required to do the Alaskan licensing process. Make sure to plan ahead and see what is expected of you to receive the benefits from your state citizenship.