the apple doesn't fall far from the tree

(also the apple never falls far from the tree)

a child usually has a similar character or similar qualities to his or her parents:

孩子通常与父母有相似的特点或者个性

Her daughter soon showed her own musical talent, proving that the apple doesn't fall far from the tree.

她的女儿很快就表现出了自己的音乐天赋，证明了有其母必有其女。