How long does it take by bus from Shanghai to Wuzhen and how frequent is the bus leaving.

The schedule is dense and there is a departure every 30-45 minutes from South Long-distance bus station from 07:15 to 18:00. Duration is about 1.5 hours and ticket fare is around CNY 55.

I don't think official taxi would like to go. But you can rent a car, the reference fare is CNY 200-400 based on car type and your starting location, you know SH is large.