<p>In this study, we examine thermodynamic parameters along with the BH evaporation. For this purpose, we chose BHs with global monopoles because the existence of global monopoles near a BH may influence the rate at which it loses mass and ultimately evaporates. We also analyze the thermodynamic parameters, local and global stability in the presence of entropy with exponential correction term. Furthermore, we consider the thermodynamic geometry with respect to entropy, charge, and thermodynamic pressure. In addition, we discover that the zero point of heat capacity aligns with the Ricci scalar which is obtained from the Ruppeiner metric, indicating the phase transition. However, our most exciting finding in this study is that BH evaporation is rapid for stable BHs but slow for unstable BHs. Interestingly, raising the values of global monopole can accelerate the evaporation process.</p>