"give someone a workout" or "give someone a training"?

Question

Let us say a new gym member wants a gym coach to train for the first. So what would be correct:

The coach agreed to give the client a workout.

The coach agreed to give the client a training.

Tell me please what is the natural way say that!

Answer 1

The first sentence (workout) would be fine if the workout is a single training session.

If you look up training in the Cambridge Dictionary, you will see that it says noun U: the U means that it is uncountable. With uncountable nouns, you don't use the indefinite article a, so your second sentence is incorrect as it stands.

If you want to talk about a single session, you could say a training session. If the training might over several sessions, you could say some training.

Answer 2

We don't normally say a training since it is non-count, but a training session or simply training.