how does someone make their website search results appear like this

You'll need a way for Google to discover a decent menu structure. There's no guaranteed way to get this done.

The website doesnt, the SE does
these results are considered relevant enough to be multi-linked
Goto google webmaster tools
register yourself & your site,
read Google_webmaster_101
&

Follow The Instructions

google inform you what they expect, to rank well
content is King

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