There is a cost if you want the process handled by an attorney. You would also need to pay fees for filing ($200.00 - $218.00 depending in the county), service fee ($50.00 or so depending in the county), and the any other court costs. Good luck and contact an attorney if you would like assistance.
There are several bill boards in metro Atlanta advertising uncontested divorces for $500 plus filing fees. I do not know these attorneys, but a bare bones complaint and no children or property settlement agreement may be accomplished for such a low fee if primarily handled by a competent paralegal.
The above answer is a general explanation of legal rights and procedures. It does not constitute legal advice. Nor does it establish an attorney-client relationship between the individual posting the question and the attorney providing the answer