Well, the monkey king is and great but nasty character because it takes a lot of damage
i start with and critic item to bonus his crit but you can start with the dagger to hit faster and pursuit easily to the boots, then going to attack speed and critic buying the zeal, going next to the damage with a infinity that Boosts the critic damage and the critic, giving more damage, then you can buy life steal since you have a good speed now, buying the bloodthirster, then you pursuit the phantom to basiclly "end" the game since you are hitting too fast, taking too much damage and stealing too much life, becoming a Threat to the enemy team, after that you can Buy an Black cleaver or beggining to build items like warmog to ultimate your "War Monkey Machine"

The runes aren't the correct's i think, but they boost a lot

Birth and early life

Sun Wukong was born from a mythical stone formed from the primal forces of chaos, located on the Mountain of Flowers and Fruit (hua guo shan). After joining a clan of monkeys, he earned their respect by discovering the Water Curtain Cave (shui lian ****) behind a large waterfall; the clan made it their new home. The other monkeys honored him as their king, and he called himself Měi Hóuwáng (handsome monkey king). He soon realized that despite his power over the monkeys, he was still only mortal. Determined to find immortality, he traveled on a raft to civilized lands, where he found and became the disciple of a Taoist immortal Bodhi. He was able to acquire human speech and manners through his travels.[1]

Bodhi was initially reluctant to take him because he was not human; but the monkey's pertinacity impressed the patriarch. It was from him that the monkey received his official name Sun Wukong ("Sun" implies his origin as a monkey, and "Wukong" means aware of emptiness). Soon, his eagerness and intelligence made him one of the favorite disciples of the patriarch, whose guidance and training taught the monkey a number of magic arts. He acquired the powers of shapeshifting known as the "72 transformations", supposedly the more versatile and difficult set of skills that allows him to transform into every possible form of existence, including people and objects. He also learned about cloud-traveling, including a technique called the Jīndǒuyún (cloud-somersault), which covers 108,000 li (54,000 km or 33,554 mi) in a single flip. Finally, he could transform each of the 84,000 hairs on his body into inanimate objects and living beings, or even clones of himself. Sun Wukong became proud of his abilities, and began boasting to the other disciples. Bodhi was not happy with this, and cast him out of his temple. Before they parted, Bodhi ordered that Sun Wukong promise never to tell anyone how he acquired his powers.[1]