yeah there are a few way to do this... umm first you should try a proxy because since you're remotely connected to the network you won't be hardware blocked. so get in the network then what you should do is have a internet proxy installed on you're pc.. umm first i need to know what OS you're running. you can do it on windows but if you have linux its really easy and if you have mac.. i dont have experience with osx so yeah.
another thing you could do if you had another pc at home you can install teamviewer on both and then remotely use your pc at home from your laptop at school therefore you would be connected to your internet at home and you wouldnt need to hack anything. the best hack is to not hack (cheat the system) and one more thing if you're school has multiple networks and you do have linux i can teach you how to truely bypass the network by hacking wep/wpa2 keys and connect to like the admin network if there is one you wouldnt need any proxys or anything in other words nothing would be restricted from you.