Can I hide my computer from the Network completely

[s018mes]

I have a personal Laptop, that I am not allowed to connect to the network at work.

If I connected my laptop to my WORK MAC computer using the internet sharing feature, would my laptop show up on the network visable to the tech people by say the MAC address or as an ip address? Or would it just look like internet traffic is coming from the WORK MAC computer?

If my laptop would show up on the network using this feature, is there a way to access the internet at work using my laptop without showing up on their system using the WORK MAC computer as the proxy?

Side note:

I am not trying to hide the websites I search or do anything malicious. I am just have personal email programs setup on my computer that i would like to access at work. And on my limited break time, would like to play a few mintues of online games, of which on don't want to install on a work computer.

Side question: If this whole thing is possible, would the IT guys notice if you were playing games that require an internet connection like WOW or Diablo II?