This should be lowercased (unless at the beginning of a sentence) and closed (i.e., no hyphen).
internet, web, website, web pages
Lowercase all of these words. Keep “web page/s” as separate words, but treat “website/s” as one compound word.
live stream or live-stream
This depends on how the term is used in a sentence: separate words “live stream” when used as a noun; hyphenated “live-stream” when used as verb or as a past participle adjective.
The live stream was on CornellCast.
I live-streamed the lecture from my desk.
The live-streamed performance made me nostalgic for the Hill.
URLs
Keep the URL lowercased, and, whenever possible, drop the non-essential front element of URLs.
Online, it’s best to hyperlink key words and phrases, often in combination with an action. Avoid having to say “click here.”
The AAD homepage offers many resources. Click here to visit.Discover many resources on the AAD homepage.
If it’s important to bring awareness to a URL, you can use a “naked” link (a link where the URL is spelled out).
More alumni, parents, and friends need to know about the many resources on alumni.cornell.edu.