If anyone else was confused (I was and had to google), the practice of alternate nostril breathing entails physically obstructing alternating nostrils with a finger as you take breaths.
There's a joke in Russian quite popular among small kids: "The hedgehog learned to breathe through his butthole. One day he sat down to rest and suffocated".
(Hedgehog is the hero if many slightly absurdist jokes).
Let me actually encourage you try this. Imagine you have a third nostril placed between the 2 real (forming a line or a triangle - whatever you like better), visualize and "sensualize" (do your best imagining it in details and feeling it) breathing through 3 nostrils. As a result this may trigger a nasal congestion relief. Try this the next time you catch a cold.
Not going to lie: "Naturally we breath out of one nostril at a time" had me looking very confused! I even tried contorting my face to get one of my nostrils to close, haha
If you pay attention, one of the nostrils are likely to be more active (as measured in air flow) at a given time and the active nostril will switch side from time to time, perhaps something like every couple of hours.