This book explains how Wolverine came to have adamantium claws/skeleton. That's it. He's abducted, taken to a lab (where the entire book takes place), he's mostly unconscious speaking very little, the adamantium bonds with his bones and his healing factor prevents him from dying, the scientist tries to control him, fails, Wolverine's memory is wiped in the process, Wolverine kills everyone and escapes into the wilderness.
If you've read a load of Wolverine books or even seen the first 2 X-Men movies and the Origins flick, all of this is already old news - you don't have to read this. Most the book is really boring with dull clinical dialogue filling up the pages as we see Wolverine in stasis while he's being operated on.
I felt like this entire story could've been relayed in 4 pages or less as part of a larger Wolverine story - until I realised it had been done in numerous Wolverine/X-Men books, even improved upon. Because all of the interesting questions raised - how did they know about Logan's healing factor? what is Weapon X and what is the purpose of it? who and why were they conducting these experiments? - are never answered. This book exists only to show Logan bonding with the adamantium, having his memory of this experiment wiped, and stumbling away leaving behind death and carnage.
The art is pretty decent: the image of a naked Logan, long, wild hair, claws snikted, covered in blood, with chunks of machinery lashed onto him as he stands above a pile of corpses - it's very cool, iconic even. But does one page of cool art make reading this book essential? Nope!
Weak story and decent art aside, if you're familiar with the character then chances are you know about Weapon X already, so reading this is kind of redundant - you won't learn anything new. I sure didn't and I'm not sure how this book is considered a classic. A classic yawner more like.