Pula Airport is located about 5 km from the city center. It is not difficult to get here, even though there is no regular bus service. You can leave here either by transfer bus or cab. Unfortunately, there are no transport connections to other cities at Pula Airport.
If you've flown to Pula on a package deal, it's likely that the tour operator will provide you with a shuttle from the airport to your hotel.
You can rent a car at the airport - there are several rental companies.
The easiest way is to take a cab - there are even spacious minibuses that can carry up to 16 people. A cab from Pula Airport to Rovinj costs about 400 HRK (landing - 20 HRK, one kilometer - 12 HRK).
A cheaper but also more problematic option is cab + bus. First you'll need to get from the airport to Pula bus station (a cab will cost about 100 HRK), and then take a bus to Rovinj (see here for bus schedules). Bus tickets cost about 38 HRK.