Sleep and rest are spoken of as if they are things that can be given. Here eyes and eyelids represent the whole person. Alternate translation: "I will not allow my eyes to sleep or my eyelids to rest" or "I will not sleep or close my eyes and rest" (See: [[rc://en/ta/man/translate/figs-metaphor]] and [[rc://en/ta/man/translate/figs-synecdoche]])