The inner city Old Town, which is located within the city walls, is small enough to be covered by foot. The rest of the city is easy to get around by bike and has plenty of good bikes paths.
By car
During the summer cars are not allowed within the city walls, though parking outside the walls is free of charge.
By bus
There are several bus lines going out to the rest of the island, check the time table before heading out though.
By bike
During the summer there are usually plenty of bike rentals, but they can be expensive, if you're staying for a longer period purchasing a used bike might be a cheaper option.
On foot
Visby is best enjoyed by foot, especially the Old Town, located within the city wall.
By taxi
Like the rest of Sweden, taxis can be expensive, and are best for short trips when you are unable to get around otherwise.
Taxi Gotland, phone number: +46 498-200 200
Taxi Kurir Gotland, phone number: +46 498-50 000
Din Taxi Gotland, phone number: +46 498-20 70 70
Gute Taxi, phone number: +46 498-44 44 44