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Each neuron in your brain is directly connected to many others, and it is thought that this matrix is how our brains store information and how it is able to perform complex computations. 
In a sense the internet is similar in that it is a complex network of interconnected computing machines. Each computer is able to store and perform complex calculations. 

There are probably more dissimilarities between our brains and the internet than similarities though. Our brains are analog, the internet is digital. An analog computer is much faster than a digital computer of similar complexity. Also, there are many more connections in our brains than in the entire Internet. There are about 100 billion neurons, and about a trillion connections in your brain. The internet has about a billion connected systems. So, our brains are far more complex than the internet currently is. Binary math has 2 states, on and off or true and false. We don't know how many states a neuron has, but we know that it's a lot more than 2. So the storage in our brains is much more compact than digital memory chips. A single core digital processor can perform one computation per cycle. Our brains can perform millions of computations in the same cycle.
The scientists measured the degree of correlation between activities in tens of thousands of brain regions. They found that many of the nodes had only a few connections, and a small number of nodes were connected to many others. These "super-connected" nodes act as hubs -- as with the Internet or your most gossipy friend -- getting the word out quickly and widely.
So maybe, the thinking goes, if you can figure out how the Internet works -- or why your gossipy friend succeeds -- then you can grasp your own mind.
Or, put more scientifically, these findings of basic principles of brain function suggest "that the underlying properties can be understood using the theoretical framework already advanced in the study of other, disparate, networks