Top places/things to see:

Arnolfini
www.arnolfini.org.uk | 16 Narrow Quay, BS1 4QA
Contemporary Art Gallery, has a good Bookshop and a bar.

The Clifton Suspension bridge from the garden of the Avon Gorge Hotel
www.theavongorge.com | Sion Hill, BS8 4LD

Harbourside and Floating Harbour by Ferry
www.bristolferry.com

Brandon Hill / Cabot Tower, off Park Street
Lovely big park with great views over the city.