Interesting idea man, think about this: if its a neural network of the human consciousness, and getting stronger, will humanity eventually become a gigantic hivemind, with each person as a node? o.0
What I speculate that the future looks like for humans and their technology:
The computers will be interfaced with our brain via implants.
We will be nodes on this internet as you say and all humans will become telepathic due to this.
We will be able to access any/all of the collective human knowledge using this system, and all new discoveries/theories that people have will be uploaded to the hivemind for others to benefit from/examine.
Money and wealth disparity will cease to exist.
People will not be able to lie about anything and there will be no more secrets.
The internet will be classified a natural human right / utility, and every person on the planet will have unmetered unlimited access to it.
Hunger, poverty and disease will be eradicated due to the exponential growth in the sciences that this system will allow for.
We will travel interstellar space and visit the other civilizations and finally become acquainted with the galactic community.
That's my dream anyway.
One can hope right?