I was a Florida resident for all of 2018, I have paid Georgia property taxes on two properties (personal use). Do I need to file a Georgia State Tax Return for 2018?

[DoninGA]

If you do not have any Georgia sourced income or Georgia state taxes being withheld on the income you received then you do not have to file a GA state tax return.  The payment of Georgia property taxes is not a requirement to file a state return.