Truth:They aren’t the same thing. The Internet is the infrastructure that allows information to be shared between networks across the world, including ones accessed via personal computers, smartphones, various kinds of software and more. The web is just another one of those networks, namely the one with sites and pages that start with www. Hey, just like the one you’re on right now! Look at that!
The web needs the Internet to exist, but the Internet has plenty of other stuff going on besides the web.