One of your first stops should be Bridport Tourist Information Centre. Here, you'll be able to find your bearings and get lots of useful information before you set out exploring.
You're spoiled for sightseeing choice when in Bridport. Bridport Tourist Information Centre is an ideal place to kick off here, but there are loads of other interesting spots to discover. West Bay Beach, West Bay Harbour, and Seatown Beach are near the tourist information center and will round out your day nicely.