To be fascinated or captivated by something or someone, to gaze at it in admiration (somewhat literary or old-fashioned).
夜景の美しさに見惚れて、しばらく動けなかった。
I was so captivated by the night view that I couldn't move for a while.
彼女は舞台の上の踊り手を見惚れていた。
She was entranced by the dancer on stage.
夕焼けに見惚れる瞬間が好きだ。
I like those moments when I'm captivated by the sunset.
美術館で名画に見惚れて、時間を忘れてしまった。
I was so fascinated by the masterpiece in the museum that I lost track of time.