Blockchain can't be the new internet, bot of them are technologies but are different technologies, to be clear, without bitcoin internet will work fine, but without internet bitcoin will not work, because internet is the medium.
But of course bitcoin is a paradigm change and can be considered as the new money, it can take the place of paypal or visa and that's where things get interesting.
I can't agree 100% with you.Internet is the world wide web.The blockchain can be considered a web as well.
Both can be decentralized and both can have huge impact over our lives(the internet already has such impact).I'm thinking about a way use crypto mining for paying our internet bills.Imagine a bunch of nodes mining crypto that is used only for maintaining the world wide web infrastructure.