"I like being alone."

Translation: J'aime être seul.

[Sebastiannn]

Could be also correct: "J'aime d'être seule" ?

[Hohenems]

Nope. The " d' " represents "de"...which means from, of, with... "I like from being alone" doesn't work. Also, just "être" by itself is "being" http://www.wordreference.com/enfr/being