To be able to read (text); to be legible or decipherable.
この漢字はまだ小学生には読めない。
This kanji is still unreadable for elementary-school students.
暗がりでも看板の文字が読めた。
Even in the dim light I could make out the letters on the sign.
古い写本だが字がはっきりしていて読める。
It's an old manuscript, but the characters are clear and readable.
To be easy or pleasant to read; to be able to read through something smoothly (i.e., text that 'reads well').
この小説は構成がよく、一気に読める。
This novel is well-structured and can be read in one go.
フォントが見やすくて長文でも読める。
The font is easy to see, so even long texts are readable.
英語の新聞が読めるようになるまで毎日勉強した。
I studied every day until I could read English newspapers.
To understand, perceive, or divine (someone's feelings, a situation, or future developments).
彼の本音が読める人は少ない。
There are few people who can read his true feelings.
相手の動きを読めれば、次の一手が分かる。
If you can read your opponent's moves, you can foresee the next move.
占いで未来が読めるとは限らないが参考にはなることもある。
Fortune-telling doesn't necessarily let you read the future, but it can sometimes be useful as a reference.