Good question! I had to look for the answer myself. The short answer is "no." The rule has changed. In the past, you had to capitalize Internet if it was a proper noun. Now, most people do not. Here is an article about it: https://www.wired.com/2015/10/should-you-be-capitalizing-the-word-internet/

You don't need to capitalize the word internet.

You don't need to capitalize it at the moment