If you're trying to come up with something to do that's free, check these out:
The Minnesota State Capitol has free tours on the hour. Depending on the weather, you might get to go up to the top and see the gold horses up close.
This is the 2nd floor rotunda
St Paul Cathedral: free to visit when there are no religious services.
It is free to visit St Paul City Hall.
Get a Museum Pass from your local library and you will get free admission for two, at a number of attractions in the Metro area such as the Walker Art Center; Works: The Technological Discovery Center; the Bakken Museum; and the Minnesota Zoo. You can get another pass every week.
Como Zoo and Conservatory are free (a small donation would be appreciated).
The Minneapolis Institute of Arts is free every day but is closed Mondays.
The Graffiti Room at the Minneapolis Institute of Arts
What about one of the many nature centers located in Minneapolis suburbs? Once there, you can walk for hours and see lots of wildlife and plants you might not ordinarily see. Bring a camera and get some good pictures. Here is the site for Springbrook in Fridley. Notice they also have volunteer opportunities.
Elm Creek Park Reserve in the Maple Grove area covers about 4900 acres: http://www.threeriversparks.org/activities.aspx
Or Wood Lake Nature Center in Richfield-150 acres: http://www.cityofrichfield.org/index.aspx?page=241
Do you know of other free activities?