You likely will need to have your father's Will admitted to probate in Georgia (assuming that you mean real estate when you say "property in NC"), and then offer it for an ancillary probate in North Carolina. You'll need either an attorney who is licensed in both states or one for each state. If the North Carolina asset is not real estate, however (ie, if it is stocks, bonds, furniture or other tangible personal property, an interest in a business, or anything other than an interest directly in NC real estate), then you likely do NOT have to offer the Will for probate in NC. I strongly urge you to consult an attorney in GA first, who can help you review your father's assets and guide on through determining what to do and how to do it.
This answer is not intended to provide you with specific legal advice regarding your situation, or to create any attorney-client relationship. The intent is only to provide general information. You should be aware that you cannot rely on this answer to provide you with any protection against tax penalties. You should always consult your own attorney in order to obtain legal advice.
Most states, probably including North Carolina , have a provision in their statutes for what Georgia law refers to as "ancillary probate." This is a shortened probate procedure for obtaining title to property in that state when a will has already been probated in another.
If possible, contact a North Carolina probate attorney about filing an ancillary probate of the Georgia will.
Best of luck.
No attorney-client relationship or privilege is formed by this communication. This answer is to be considered as a general discussion of legal principals and is NOT LEGAL ADVICE. If the asker seeks specific legal advice, he should retain an attorney, who will naturally take the time to consider all aspects of the case and perform any necessary legal research.