The Dane County Farmers' Market is one of the largest farmers markets in the country. It runs every Saturday from 6:15am–1:45pm on the Capitol Square, just a 15 minute walk from the wedding venue and hotel block.
Madison's Olbrich Botanical Gardens are a little over 2 miles from the wedding venue and hotel (a 5–10 minute drive).
The gardens are open 10am–6pm daily. Admission to the outdoor gardens is free, and the indoor conservatory costs $6/person and closes at 4pm.
The Wisconsin State Capitol provides free tours starting every hour (except 12pm) from 9am–4pm on weekdays, or 9am–3pm on Saturday. It is in the center of Capitol Square, a 15 min walk from the wedding venue and hotel block.