  We consider a charged Gauss-Bonnet black hole in $d$-dimensional spacetime
and examine the effect of thermal fluctuations on the thermodynamics of the
concerned black hole. At first we take the first order logarithmic correction
term in entropy and compute the thermodynamic potentials like Helmholtz free
energy $F$, enthalpy $H$ and Gibbs free energy $G$ in the spherical, Ricci flat
and hyperbolic topology of the black hole horizon, respectively. We also
investigate the $P$-$V$ criticality and calculate the critical volume $V_c$,
critical pressure $P_c$ and critical temperature $T_c$ using different
equations when $P$-$V$ criticality appears. We show that there is no critical
point without thermal fluctuations for this type of black hole. We find that
the presence of logarithmic correction in it is necessary to have critical
points and stable phases. Moreover, we study the stability of the black holes
by employing the specific heat. Finally, we study the geometrothermodynamics
and analyse the Ricci scalar of the Ruppeiner metric graphically for the same.
