Your first reading might catch on the twist of a familiar saying. "An apple a day keeps the doctor away" becomes "a dream a day keeps the reality away," and the question mark right after it matters. The speaker isn't entirely sure the claim is true, but they're tempted by it.
The last three lines make the feeling plain. If dreams really can hold reality at a distance, then the speaker never wants to wake up. That wish is quietly sad. Reality, judging by the poem, is something they want to escape rather than face, and dreaming feels like shelter.
The mood is wistful and a little heavy, even though the poem is light on the page. The short lines and the breaks, especially the isolated "Then I" and "Never want," make the speaker sound hesitant, as if they're admitting something they'd rather not say aloud. The poem ends without an answer, leaving that longing hanging.