  Following Zhou's framework, we consider the emergent geometry of the
generalized Br\'ezin-Gross-Witten models whose partition functions are known to
be a family of tau-functions of the BKP hierarchy. More precisely, we construct
a spectral curve together with its special deformation, and show that the
Eynard-Orantin topological recursion on this spectral curve emerges naturally
from the Virasoro constraints for the generalized BGW tau-functions. Moreover,
we give the explicit expressions for the BKP-affine coordinates of these
tau-functions and their generating series. The BKP-affine coordinates and the
topological recursion provide two different approaches towards the concrete
computations of the connected $n$-point functions. Finally, we show that the
quantum spectral curve of type $B$ in the sense of Gukov-Su{\l}kowski emerges
from the BKP-affine coordinates and Eynard-Orantin topological recursion.
