I can second the recommendation for The Bake Shop. It's known far and wide among Alaskans for exactly what cbalaska said. I particularly enjoy their wonderful soup (usually they have two soups of the day served in a sourdough bread bowl), especially on a chilly, rainy Girdwood day.

While you're in Girdwood, check out the Double Musky restaurant just a short drive down Crow Creek road. They've got the best cajun food this side of the Canadian border (or maybe that's the only cajun food this side of it...). It was given a stamp of approval by someone I know who used to live in Texas and has spent many evenings in real Louisiana cajun kitchens.

Enjoy your trip!