le了 at the end of a sentence with a verb predicate in which an optative or modal verb occur before the main verb.
Tā huìkāi chē le. 他会开车了。 Now he is able to drive a car.
This sentence implies that 'he' did not know how to drive. Compare it with the following sentence which does not have the change-of-state le了.
Tā huìkāi chē. 他会开车。 He is able to drive a car.
This sentence simply states the fact that 'he' can drive. It does not imply any change.
Wǒ xǐhuanxué Hànzì le. 我喜欢学汉字了。 I have taken a liking to studying Chinese characters.
This sentence implies that 'I' did not like to study characters previously. Compare it with the following sentence which does not have the change-of-state le了.
Wǒ xǐhuanxué Hànzì. 我喜欢学汉字。 I like studying Chinese characters.
This sentence simply states the fact that 'I' like to study Chinese characters.