Click "Manage NCSoft Account" after the game has loaded (before logging in, it's under the Login button) sign in, you can then see how many "veteran months" you've worked up since account creation. Vet rewards are awarded every three (paid) months, not by hours in game.
If you want to know how many hours you've spent on a particular character in game, have them go up to any Civilian whose name begins with "M" and click them.
Defiant EU
Quaver: Kinetics/Sonic Defender
Semiquaver: Sonic/Kinetics Corruptor Well, your Veteran Rewards dates are listed on the Game Account Details page. You can access this from plaync.com
Account Management
Click on the accounts name and it lays it all out for you.
Can anyone tell me if there is anyway to see your hours played to see what rewards are on the horizon.