  We show that the WZNW model on the Lie supergroup GL(1|1) has super
Poisson-Lie symmetry with the dual Lie supergroup B + A + A1;1|.i. Then, we
discuss about D-branes and worldsheet boundary conditions on supermanifolds, in
general, and obtain the algebraic relations on the gluing supermatrix for the
Lie supergroup case. Finally, using the supercanonical transformation
description of the super Poisson-Lie T-duality transformation, we obtain
formula for the description of the dual gluing supermatrix, then, we find the
gluing supermatrix for the WZNW model on GL(1|1) and its dual model. We also
discuss about different boundary conditions.
