The Huskies, if the win the Pac-12, might be in the 4 team playoff for the National Championship. They would, after the games are done, be rated in the top 4 of the Selector's Poll.

If they win the Pac-12 but don't get selected for the Final 4 they would get the Rose Bowl.

Not sure what happens if they lose. I suspect that if they lose then whoever won the Pac-12 would go to the Rose and the UW would get some other major bowl.