Check out https://en.wikipedia.org/wiki/Field-emission_microscopy . The German page has a few more pictures how that beast actually looks like - and how old that one is. Over here, such a tube is (or at least was) standard equipment for a high shool (Gymnasium) physics lab. It'll only show the structure of a crystal (i.e. the tip of the electrode) at atomic (or close to) resolution.
"Real" atomic resolution came up with the various types of essentially mechanical raster microscopy - scanning probe microscopy. Rather like reading braille - you run a tip over a surface and detect the "roughness" (which might be expressed as electrical current as in the raster tunnel microscope or, later on, even as mechanical force in the raster force microscope). I can remember this picture going around the world when I was a student: https://www-03.ibm.com/ibm/history/exhibits/vintage/vintage_4506VV1003.html
Of course, "see" is a bit far fetched here, as you're not dealing with any form of light. Any "light" that could work on this kind of scale would basically destroy the stuff it was sent to illuminate. As e.g. in the XFEL facility, which works with X-rays to probe molecular structures.
If I'm honest I'm at the limit of my intellectual capacity when I talk about this stuff but I do have very strong understanding of particle physics. My specalisit supject isn't taking pictures of atoms..... which I considered impossible [noob]