as far as i know, nothing in terms of instrumentation warnings, but you will likely trigger an engineering warning, from whatever system of monitoring the individual operator may use....a g-exceedence however may often be due to approaching departure from normal company flight envelope, .... rapid change in pitch.....bank angle exceedence ...etc, so one may experience an overspeed warning, a bank angle EGPWS type annunciation or in the case of high pitch att/low airspeed, an ALPHA indication on the PFD.