Dorset Police found the body on land south of Swanage and say they are 'confident' the remains are the 19-year-old.
Gaia has been missing since she vanished from the Swanage area of Dorset on November 7.
Police say the discovery was made at around 3pm today by a specialist search team near the costal path where items of her clothing had been located.
Detective Superintendent Paul Kessell, of Dorset Police’s major crime investigation team, said: “Although the body has yet to be formally identified, we are confident that we have found Gaia.
“Her family have been informed and are being supported by specially-trained officers."