Georgia is not part of the Drivers License Compact, an agreement that requires member states such as Alabama to report back convictions of tickets to the state which licensed the driver, but many states do report convictions for moving violations back to the GA Department of Motor Vehicles anyway.

The Georgia Department of Driver Services (DDS) points page states that the Department is authorized to suspend your license if its records or other evidence shows that you have accumulated 15 points within 24 months under the point system, including violations committed out of state.

The DDS also notes that a Georgia licensed driver shall have their license suspended for a conviction of serious offenses in Georgia or any other state. Check with the DDS site for a list of these violations.

From this information it would appear that your Alabama speeding violation would be placed on your GA driving record and assessed points if the Alabama courts report the infraction to the GA DDS. In Georgia driving over 24 mph but less than 34 mph is worth 4 points. 

The Alabama traffic court should be able to inform you if this speeding ticket will be reported back your home state of Georgia.