The weather this weekend is suppose to be sunny and warm - our downtown is vibrant and beautiful - we have a lot of sidewalk cafe's and restaurants and our theaters are abundant - the Guthrie is on the Mississippi River a short walk from most downtown hotels - the Walker Art Museum is always worth checking out and we have the new outdoor Twins stadium, although I heard every game is sold out but scalping is legal so maybe you can score a ticket.
You can hop the light rail and head to the Mall of America for about $2.25 or less, although personally I'm not a fan of mega-shopping malls but they have numerous restaurants and movie theaters. Lastly, we have dozens of lakes surrounding our downtown area so you might consider a taxi to drive around them.
Have fun -