看 means “watch over, look after”

かん · kan

Also: see

Kun'yomi (Japanese reading)
みる
On'yomi (Chinese reading)
カン

JLPT N1 · Taught in grade 6 · 9 strokes

The story

A hand (手, flattened on top) shading an eye (目): looking out with care. 看 is watching over: a 看護師 is a nurse, 看病 is nursing someone sick at home, and a 看板 is a signboard, the board you are meant to look at.

Used in 看護師 (kangoshi, nurse), 看病 (kanbyou, nursing), and 看板 (kanban, signboard)

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Readings from KANJIDIC2, © EDRDG, CC BY-SA.