Yeah its a straight forward swap, just get hold of a GPU passive heatsink from a later model xbox motherboard any version from 1.1-1.6 should be fine, you'll also want the clamping arm that belongs that heatsink as the one from the 1.0 won't be of use to you.
For removing the heatsink its pretty simple, as pablot said, you can run the xbox for 10 mins, power it off then remove the heatsink, as the thermal paste won't quite be as hard as a brick if you do this, or you can do it from cold, it'll take a little bit of effort though either way, but don't be scard, all i can recommend is, don't go sticking screw drivers under the heatsink and try removing it this way, your just asking to damage your board or the GPU by doing this.
The best way for removal is to get a firm grip of the heatsink, obviously lift the release arm catch first, then twist the heatsink from side to side, as i said it'll take abit of effort, you should find it'll come off in your hands after twisting it side to side for a little while.
Simply then clean up the original thermal paste from the top of the GPU, use some old cloth, and you may want a little flat blade screw driver, BE CAREFUL IF YOU USE ONE, APPLY SLIGHT PRESSURE AND CAREFULLY REMOVE THE OLD PASTE!!
Ok now once your happy with the clean up job, get some new thermal paste, the best choice would be Arctic Silver 5, but you can use your own choice. Apply a couple of lines of paste, top to bottom of the GPU, then spread it out evenly, its then as simple as applying the new heatsink, the locking arm and locking the arm down.
Before you do actually attach the heatsink, it may be worth while noting, as its second hand you may want to give the bottom of this a clean also to remove any old thermal paste.
If you want a really silent xbox, look into watercooling, although it IS expensive, and overkill, ive been working on mine in my media center box to make it as quiet as possible. But you should be happy with the results after replacing the GPU heatsink and adding a new quiet rear exhaust fan.
Good luck
