Ok not really... But apparently not real enough...
Real enough to change your name at the social security office, the Secretary of State (DMV), your tax filing, etc. but not really real.
In order to get a "Real" marriage license a week to 10 days after your marriage you need to order one from the county clerk.
The difference?
There will be an added statement somewhere on it (because marriage licenses vary from county to county, and state by state) that says it is indeed a true marriage license and has been signed by the county deputy or something, not the county clerk like before.
What can this marriage license do for you that your other one can't?
Nothing. (That I know of)
Why get one?
Well, send it in/take it in/ have a friend take it in to the special Secretary of State with $1, and the county you want to get a visa to, and they will add a special certification to is called Apostille. This new certification will then allow your marriage to be recognized by the other county, because apparently now it's real... It wasn't before...