having a dream; dreaming
Refers to the act or state of dreaming while asleep. Often used in literary or poetic contexts, and in compound words like 夢見心地 (dreamlike state).
I write down the contents of my dreams in a diary.
She had bad dreams and couldn't sleep well.
He's had a bad feeling lately, as if plagued by ominous dreams.
夢見る is the verb 'to dream', whereas 夢見 is the noun form referring to the act of dreaming, often seen in compounds like 夢見心地.
Compound of 夢 (yume, 'dream') + 見 (mi, the continuative form of 見る 'to see'). Literally 'dream-seeing'.