Both destinations are served by Hyderabad (HYD). Since there's no flight route between them, the best way to travel is by road.
Gachibowli
Fly to Hyderabad (HYD), then travel by road to Gachibowli. Taxis, buses, and private cabs are available from the airport.
Hyderabad
Fly to Rajiv Gandhi International Airport (HYD), then travel by road to Hyderabad. Local transport options include taxis, auto-rickshaws, and state buses.