I have a website (well, I own a company). I'd like to get my website set up so that when someone searches in Google, it's looks how CNN looks, for example:
How do I tell Google to do this?
You dont :) it looks at your site structure and sees if it can find a way to display your site like the screenshot
Straight from the horses mouth:
Google has not generated any sitelinks for your site. Sitelinks are completely automated, and we show them only if we think they'll be useful to the user. If your site's structure doesn't allow our algorithms to find good sitelinks, or we don't think that the sitelinks are relevant to the user's query, we won't show them. However, we are always working to improve how we find and display sitelinks.