You will need to decide the time of year that works best for you. Summer offers long days. Early Spring limits your access if you want to venture into Denali, etc. but there are less crowds and glaciers are not diminished. Prices can also be lower during shoulder season.
Anchorage is the perfect base for your visit. From the moment you arrive at the airport, the view is picturesque with the backdrop of Mountains. Keep a lookout for Moose and enjoy the shops and check out work by local artisans.
Below are a few must-see stops when you have a week or less to enjoy Alaska:
The Alaska Wildlife Conservation Center - If you want to help locals care for animals, plan a visit to see the wildlife and support their efforts. You can walk or drive through the park. https://www.alaskawildlife.org/
There are also easy hiking opportunities close by. Tip: Stay on the trails and/or bring bells to shake occasionally. This deters bear from crossing your path.
Visit the glaciers! North of Anchorage, Matanuska Glacier is easy to access.
Tip: Watch your step. It is easy to venture a little further out than you intended on the ice! Oops.
Seward, Alaska offers great boat trips to see the glaciers and wildlife.
Hopefully, this small glimpse into our beautiful and wild 49th state entices you to visit soon!