The Embassy of Sweden in Tbilisi does not handle migration related issues for Georgian citizens or citizens owning Residence permit in Georgia.
Visa for visiting Sweden
As of 28 March 2017, Georgian citizens with biometric passports can travel visa free in the EU Schengen Area.
Holders of Georgian residence permit cards, who wish to travel to Sweden, should contact the Latvian Embassy in Tbilisi.
Address: 46 A. Khakhanashvili Street, Avlabari, 0144, Tbilisi, Georgia +995 32 2244 858
http://www.mfa.gov.lv/en/georgia
embassy.georgia@mfa.gov.lv consulate.georgia@mfa.gov.lv
If you do not have a residence permit card in Georgia, you will not be able to get visa from here.