Just the one goal arrived in the first period, with Borja Fernandez opening the scoring with a cool finish after seven minutes.
Bilbao pushed for the equaliser in the latter stages, but they could not make the breakthrough as the home side held on for a vital three points.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
GETAFE: Moya; Lopo, Torres, Fernandez, Escudero; Borja, Leon, Castro, Torres; Barrada, Adrian
BILBAO: Iraizoz; Iraola, San Jose, Ekiza, Laporte; Susaeta, Iturraspe, Herrera; Aduriz, De Marcos, Ibai