Getting a perm in a dream is read as wanting a change that lasts longer than a mood. Folk tradition sees it as reshaping how others see you, with some patience for the result.
When this appeared in your dream, what were you feeling?
My Cosmic Code has a private dream journal. Write a dream down and the app picks out the symbols in it, shows what dream books say about them and, over time, which words recur across your entries. The journal is stored on your device only.