The processing of a green card, or permanent residency petition by the University of Georgia is not the last step in the "green card" process for the international employee. The employee must file a final "adjustment of status" application with teh government, in order to receive the green card.
The eligibility for filing of this application is dependent upon the country of birth of the employee (or their spouse), and government baclogs for that immigrant visa category. Backlogs can be non-existent, or they can be many years. Please see the information sheet linked below for more information.
You may also find information on the US. CIS website: US CIS Visa Dates and Backlogs