Gulfstream V / G500 / G550
Flight Crew Instrument; Flight Crew Multiengine
Situational Awareness
Aircraft Equipment Problem Less Severe; Deviation / Discrepancy - Procedural Published Material / Policy; Inflight Event / Encounter CFTT / CFIT
Aircraft Equipment Problem Dissipated
Airport
VFR UNCONTROLLED AIRPORT.  Visual approach with unlimited visibility. We chose to RNAV 03 for awareness. From approximately 15 miles I stated that there is a terrain issue with this approach. We elected to continue with the autopilot flying to allow us to better scan for VFR aircraft. As we approached the hill under the path I stated that I would be surprised if we didn't get a GPWS. We were almost past the hill when the GND PROX momentarily annunciated and extinguished faster than you could respond. (No PULL UP)...I contacted FOQUA to review this airport.
Captain reported problems with approach because of terrain; causing Ground Proximity warnings resulting in an unstabilized approach.