The difference between a certified and uncertified copy of your driving record can differ from state to state.
In many states a certified driving record only means that it is verified by some notation or stamp showing that the document is true, accurate, or genuine.
For example in Michigan a certified copy is a duplicate of an original document that is certified as a true copy by the officer having custody of the original. Michigan notaries are prohibited from issuing certified copies of public records or any other documents. Requests for certified copies should be directed to the agency that holds or issued the original.
In Michigan, only the issuer or holder (person named on the document) can certify to the authenticity of a document and that it is an original or true copy. So here a certified driving record lists the same information as the uncertified drivers history just the certified one has something on proving it is a true copy issued from the state agency. An uncertified copy is usually for your own use while a certified copy of your motor vehicle record you may need to show to an insurance company, employer, etc.
In other states a certified copy may give more details than the uncertified driving record. For example, in New Hampshire an insurance copy of a driving record has only violations and accidents. A certified copy of a driving record has detailed information regarding past history including present and/or prior suspensions.
To find out if there is a difference between a regular copy of your driving record and the certified copy of the driving record in your state contact your Department of Motor Vehicles, or like state agency.