To check if you have recovery installed hold the home button and switch it on, keep holding the home button through the LG screen, and if you have recovery it should show, then you can go to backup and restore, if it shows a backup then restore it.
If not switch the phone off, plug it into your PC though USB, then hold the camera button as you switch it on (keep holding through the LG screen again) and you will hopefully get either a black screen or a blue one with commands on, if you do you are in fastboot and you can reflash Cyanogen mod.
If you were trying to install cyanogenMod, which is a custom version of android (not a rooting program) you should already have the files.
Finally if you dont get into fastboot you will need to reflash through KDZ updater lemme know if you will need to so I can talk you through that.