How can he put the world wide web on the internet? Isn't the web the internet?
No, the "the web" runs on the internet. Think of what the Internet was like before Netscape Navigator, and that's what it would be like without Berners-Lee.
Not really, WWW piggybacks in a sense. The Internet without the WWW required command line style terminals - think of UNIX commands you've seen - text based in other words, but still useful and powerful, just not so user-friendly.