I admit to being ignorant of this. I know the Oval Office is in the West Wing of course. Yahoo has a rundown of the East Wing. The main thing it seems to have housed is official offices of first ladies over the years. But not Hillary Clinton, who insisted on being in the West Wing, or Melania Trump, who doesn’t seem to do office-y things. And there was also a theater with a really big TV where presidents and guests could watch movies and the Super Bowl. But given how busy I am as a normal middle aged working parent, I can’t imagine presidents are often able to sit down and dedicate a 2-3 hour chunk of time to watching a movie or sporting event.

The east wing “colonnade” was essentially a hallway.

The iconic outdoor photos we often see of world leaders are typically taken in the outdoor West Wing colonnade.

There are also the east and west porticos, which are basically covered porches. Photo captions online seem to mix up the porticos and colonnades at times.