You're NOT connected to our network!
The word protocol refers to a standard of guidelines, and that's a key part of the definition. The networking part of the Internet is defined by exact specifications
(guidelines)for connecting on the Internet.
The IP address you're using at any given time is your device's "digital address" that allows a connection to the systematically laid-out, interconnected grid that governs
But can you be sure IP address is 100% reliable? When anyone pops a letter in a mail box, you don't think about its route, or how many trucks the postal office uses
or how many packages the letter carrier delivers a day. You just want it to go the right address.
Every website (Disney, Amazon, Apple, etc.) has a unique IP address, but it goes by its name instead (Disney.com, Amazon.com, Apple.com.)
But without IP addresses you couldn't connect with them and they couldn't share information with you.