Not really my area but
Can I ask is it that the User does this all day all week all month? Is it a new thing, or just recently..
Not trying to be stupid, just want to make sure I understand "spending their entire day on YouTube/Facebook/Google".
Is it part of your job to monitor the staff? Do managers come to you and ask how much time thier users are spending online?
Basically, are you the internet police for your place of employment?
If so, then inform the Users manager.
If not..move on and get on with your own work. By tattling you may score brownie points..or you may make many enemies.
I'm sure some people will take offence at my answer, but hey..unless its part of your job..steer clear...if this guy has not been informed he is being monitored you could get yourself in trouble.