I searched for websites with a keyword, say, "Monkey", using HTTPS-enabled Google Search on my company's machine.
Can the network administrator somehow associate with me:
When you access any site via HTTPS, everything but the server's domain name gets hidden from anyone between your browser and the server.
In your case, your search used a URL like
(most likely with more name-and-value query parameters like
All your network administrator can tell is that you made an https request to
www.google.com. She doesn't even knows you went to
/search, let alone the query parameters.
The content returned by Google was cryptographed. She couldn't see it (but she could have a general idea of its size).