In this context I think "Gaussian" is a description of a a lens (usually 4 to 6 elements) which is more or less symmetrical about the aperture stop. It doesn't strictly refer to "Gaussian" optics, rather it's the name given to a particular design.
If you look at the EF 50/1.8 (and the current
EF 50/1.8 II which is optically identical), you'll see that the design, while not exactly symmetrical, is pretty close, with three elements on each side of the aperture stop of similar types, with the types in the same order and in a similar configuration.
It's an excellent design for a simple prime lens the the 50mm focal length range.