The Global Compact is non-legally binding - and this fact is clearly stated in the document itself (paragraph 7: This Global Compact presents a non-legally binding, cooperative framework that builds on the commitments agreed upon by Member States in the New York Declaration for Refugees and Migrants. It fosters international cooperation among all relevant actors on migration, acknowledging that no State can address migration alone, and upholds the sovereignty of States and their obligations under international law). This information can also be found in the document's description on the UN website.
Since the UN Global Compact for Migration is non-legally binding, it cannot force Georgia or any other country to let in any migrants. Other states cannot force each other to do so, either. Moreover, it is not the pact's purpose. The aim of the UN Global Compact is to better manage migration at local, national, regional and global levels, in a cooperative manner.