Earlier quoted context omitted.
This should be the topmost comment. Box plots are made for visualizing generalized normal distributions and nothing else. Edited to preempt nitpick.
This is also wrong. Gaussian curves are symmetric. Box plots do not have to be. In fact representing skew in a batch is one of the fundamental purposes of them.
Because real data is never perfectly Guassian, or perfectly anything.
But the idea of a box plot is that it's for data which is in theory Gaussian or a similar unimodal kind of bell-shaped curve.
Then you can look at the box plot and see if it actually is -- are the two boxes roughly equal-sized? Are the lines a bit longer than the boxes but not insanely so?