The beholder is, perhaps, the single most iconic monster in D&D - the one creature that, more than any other, says "this is D&D" rather than some other fantasy setting. That's largely due to its unique appearance, which is quite unlike anything that exists in myth or legend or, indeed, in prior fiction. It was created, not by Gygax, but by one of the players in his original campaign, first appearing in a supplement for 0E, and has successfully stood the test of time ever since.
1E
As originally shown, the beholder is a spherical creature covered in irregular, flat, "chitinous" plates. A wide mouth occupies much of the lower half and is lined with small pointed teeth similar to those of reptiles. There is a single large lidless eye above the mouth and ten much smaller eyestalks arranged in a ring around the upper surface. The latter are protected by segmented chitin and have also have lidless eyes, similar to those of a snail or slug, although the eyestalks presumably aren't retractable. Severing the eyestalks doesn't otherwise hurt the creature, which suggests that it's able to shut off the blood supply to a severed stalk - or perhaps that it doesn't have blood. There are no other visible features, such as nostrils.