Quantum corrections are studied for a black hole with a global monopole cha
rge in a 2D model obtained by spherisymmetric reduction of the 4D action. T
he backreaction of the Hawking radiation on the geometry is studied perturb
atively for conformal matter. It is shown that the metric and the position
of horizon change by an amount of order (h) over bar. Within the off-shell
approach the one-loop thermodynamic quantities, energy, and entropy are fou
nd. They are shown to contain two parts, one due to the hole itself and one
to the hot gas surrounding it. The deviation of the quantum-corrected entr
opy from the classical one is given.