  We present a first analysis of the g-mode oscillation spectrum for the white
dwarf (WD) primary of GW Lib, a faint cataclysmic variable (CV). Stable
periodicities have been observed from this WD for a number of years, but their
interpretation as stellar pulsations has been hampered by a lack of theoretical
models appropriate to an accreting WD. Using the results of Townsley and
Bildsten, we construct accreting models for the observed effective temperature
and approximate mass of the WD in GW Lib. We compute g-mode frequencies for a
range of accreted layer masses, Macc, and long term accretion rates, <Mdot>. If
we assume that the observed oscillations are from l=1 g-modes, then the
observed periods are matched when M ~= 1.02 Msun, Macc ~= 0.31 x 10^-4 Msun and
<Mdot> ~= 7.3 x 10^-11 Msun/yr. Much more sensitive observations are needed to
discover more modes, after which we will be able to more accurately measure
these parameters and constrain or measure the WD's rotation rate.
