Both legible and readable have sense of "clear enough to read". Her handwriting was clearly legible. But, readable also may mean "easy, interesting and enjoyable to read". Legibility is about how easy it is to distinguish individual elements such as letters.

Is legible the same as readable?

Legibility is an informal measure of how easy it is to distinguish one letter from another in a particular typeface. Readability Matters defines Readability as the ease with which a reader can recognize words, sentences, and paragraphs. ... “Legibility” is based on the ease with which one letter can be told from the other.

Is there a word readable?

capable of being read; legible: readable handwriting.