You actually can find out if the Do Not Disturb is currently enabled or disabled. Notification Center drops a plist in the following location that you can read the value of. Run the following to find the plist file:
ls ~/Library/Preferences/ByHost/com.apple.notificationcenterui.*.plist
Now, you can read the value from the plist you just found by using:
defaults read ~/Library/Preferences/ByHost/com.apple.notificationcenterui.8D3EA20D-8D7F-52E2-9F99-BC17A13A3F0E.plist
NOTE: your actual filename may be different than what I have listed above.
You will see a key called "doNotDisturb" and it will either have a value of 1 or 0 (enabled or disabled)
You can also change it's status by doing:
defaults write ~/Library/Preferences/ByHost/com.apple.notificationcenterui.8D3EA20D-8D7F-52E2-9F99-BC17A13A3F0E.plist doNotDisturb 1
or:
defaults write ~/Library/Preferences/ByHost/com.apple.notificationcenterui.8D3EA20D-8D7F-52E2-9F99-BC17A13A3F0E.plist doNotDisturb 0
To make the change take effect, you'll need to restart Notification Center by typing:
killall NotificationCenter
I've actually written a very simple Automator script so now I can enable/disable the Do Not Disturb for Notification Center with a keyboard shortcut. Very handy. :)