If you never see a Google Doodle when other users are seeing one, check whether the same thing happens both when signed in and signed out of your Google account. Also, check whether you see a Doodle in a different browser.

In the archive, you can read about each Doodle and learn about the topic at hand, and often read about the artist as well  there's also a section for interactive Doodles you can revisit. You can even check out the history of Doodles for any specific day.