Your local library is a great place to visit, especially in the winter. Most have a toddler/infant story time, and many have a play area. I live near the Roseville Library and they have a great train table, puzzles, puppets, playhouse, and of course, great spots to sit and read books.
Another fun (free or practically free) things I do out of the house with my son are visit Como Park Zoo, they have nice greenhouses open in the winter, and the animals are there too (some are inside). There are also alot of indoor play areas around the metro (Woodbury has one, New Brighton has one, I am sure there are more), they cost a few dollars to get in, but it's nice to have a warm indoor area to run around.
Some inside things we do at home are reading books (we do this alot! - the library books are great for variety for mom), building things with blocks, and general household stuff. My son likes to help with laundry, it takes forever, but we have all day so I figure if he is entertained that is great. He also likes to help me clean. I give him a rag or a little broom whenever I am cleaning and he "helps".
We also do ECFE, and attend a weekly "drop in" and play with other kids his age in the same classroom where our ECFE class is. I HIGHLY recommend it. Not only does your daughter get some good playtime, but you get some parent interaction time too. Most classes have some planned activity for kids followed by a separation where parents leave the kids for a bit of adult time. IT"S GREAT!
Hope these ideas help.
Jess
Stay at home Mom to 21 month old Charlie and 6 week old Joseph