Final answer:
The statement is true; neurons that terminate on a muscle or gland 'innervate' the structure by establishing a connection at the neuromuscular junction, leading to muscle contraction or gland activation.
Step-by-step explanation:
The statement "when a neuron terminates on a muscle or a gland, the neuron is said to innervate, or supply, the structure" is true. In the case of skeletal muscle, every muscle fiber must be innervated by the axon terminal of a motor neuron for it to contract. The neuromuscular junction is the specialized synaptic structure where this connection takes place. Acetylcholine, which is released from the motor neuron's synaptic end bulbs, binds to receptor sites on the muscle fiber's sarcolemma, opening ligand-gated ion channels that lead to muscle contraction. This interaction is also vital in the function of glands.