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Throw the stick and watch the dog fetch it.
Literal
Stick [object-を] throw-and dog [subject-が] that [object-を] take-come [nominalizer-の] [object-を] look-[command-なさい].
Multi-step instruction. 投げて (te-form) chains to the second clause. 犬がそれを取ってくる is a nested nominalized clause ('the dog's coming to fetch it'), becoming the object of 見なさい. 取ってくる is the compound 取る+くる = 'fetch and bring back.' A dog-training or game instruction.