Gokarna is 145km which is 3:30hrs from Dabolim airport.
1)From Dabolim you can go to Vasco city and can rent a bike which will cost u 400-1500 depending upon your choice.
2) You can take a bus from Panjim to Ankola, from Ankola you will get bus in every half n hour.
3) Rent a bike explore on way the places ,Cancona,Teel-maati beach,Devbhag resort and many more.
If you are planning to save money on travelling from Dabolim to Goa, you can try this: Option 1: 1. Regular buses to Madgaon are available from the main road right outside the airport. You can reach Madgaon for 20 bucks. 2. You can find a direct bus to Gokarna from here, which will charge you about 150 bucks. 3. In case direct buses to Gokarna are available at later times, you can take a bus to Karwar and continue the journey from there. Option 2: 1. Instead of a bus, you can take a local train towards Mangalore and get down at Gokarna Road station. Shared autos from here are available to Om Beach for 50-100 bucks. Option 3: If money is no constraint, you may hire a taxi to Gokarna for Rs. 4,000-5,000