I think the world would be chaos without the internet because there would be no method to share information effectively,
and it would be impossible to send emails, search for news, and lots more.
So I think that the internet is essential for us and our future. = I think the world would be chaotic without the internet because there would be no effective way to share information. It would also be impossible to send emails, search for news, and do many other things. So, I think the internet is essential to our lives and our future. 

CORRECTIONS:

• would be chaos = would be chaotic
  → Chaotic is the adjective needed after would be.
• no method to share information effectively = no effective way to share information
  → More natural in everyday English.
• and lots more = and do many other things
  → Sounds more polished.
• essential for us =  essential to our lives
  → More natural when discussing the importance of the internet.