Personally when I first saw it, all I could think was “is that all?”. It’s not particularly pretty, it’s smaller than you’d expect, and it’s generally not a painting you’d hang on your wall. But it’s very famous, and instantly recognisable, and I think it simply recycles its own fame.
What nobody mentioned so far was that it was DaVinci himself who claimed that this was his greatest masterpiece, and spent the last years of his life supposedly walking around with it at all times, and thus generated the original myth around the painting. There have been many theories about the woman depicted, as well as the background, the possible symbolism and so on. Whatever the truth, it’s just spiralled out of proportion over the centuries.