uru-uru-me うるうる目

In manga and anime, sometimes characters are drawn with "watery eyes," uru-uru-me うるうる目, in which case the eyes may be drawn simplified as large and with multiple highlight spots.

Character: Honey-senpai ハニー先輩
Anime: Ouran High School Host Club, Ouran Koukou Hosuto-Bu 桜蘭高校ホスト部 (Episode 12)

Often, characters drawn with this sort of eye will be begging for something, so they're like "puppy dog eyes."

The word uru-uru うるうる is a reduplication of urumu 潤む, which means just "to be wet." See namida-me 涙目 for eyes that have tears on them, and nakigao 泣き顔 for characters actually crying.