Goa is a wonderful place to chill and have fun with your friends. A number of beaches, clubs, shacks and restaurants plus the local Goan cuisine will be the highlight of your first trip.
I loved the Vagator beach as it was super clean and not so much commercialised. Do visit Thalassa restaurant over there as it has amazing food.
Other places to visit are St. Anthonys Shack, LPK, Cubana, SinQ.
People generally stay in North Goa but if possible, explore South Goa too as it much more peaceful and serene.
A place one can visit a number of times without getting bored.
Take a flight, train or travel by car, whatever is feasible to you.