Many people confuse the Internet with the Web. It's not the same thing and the Web is not a synonym for the Internet.
The World Wide Web was invented in 1990 by Tim Berners-Lee. To put it simply, the Web is a system designed to make navigation on the Internet simple.
Some say that comparing the Internet to the Web is like comparing the ocean to a ship. =)
If you'd like to read more on the difference between the Internet and the World Wide Web then go here.