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to be affectionate towards; to show tenderness towards; to treat tenderly; to love
「愛しむ」 has another reading with different meanings.
祖母は遺された孫を慈しんだ。
The grandmother cherished the grandchild who was left behind.
僧侶は庭の花々を慈しんで手入れする。
The monk tenderly cares for the garden flowers.
厳冬を生き抜く子熊を母熊が慈しむ絵本。
A picture book about a mother bear cherishing her cubs as they survive a harsh winter.