Gedi Prime was the inhabited prime planet in its star system. This vacation planet was touted as making Risa look like a "tourist trap". It featured kilometers of crystalline beaches, mood reefs, bioluminescent waterfalls, and a championship golf course.
In 2377, B'Elanna Torres planned a romantic getaway for herself and Tom Paris in a holographic re-creation of Gedi Prime, but Paris became involved in preparing for the Antarian Trans-stellar Rally and forgot. (VOY: "Drive")
Later that year, The Doctor asked a holographic Reginald Barclay if he wanted to play golf on the "back nine" on Gedi Prime or Pebble Beach at sunset. (VOY: "Inside Man")
The Star Trek Encyclopedia (4th ed., vol. 1, p. 300) postulates that the name was a tip of the hat to Frank Herbert's Dune novels.