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To expand on what KevinBates said, gift purchases on itch.io are explained here: https://itch.io/updates/you-can-now-purchase-games-as-gifts-on-itchio

And this page explains what you'll see when you buy it, what he'll see when he gets the purchase email, and what the benefit of creating an account is (it's not required because purchases are associated with email addresses, but doing so lets you organize all your purchases in one spot): https://itch.io/docs/creators/how-buying-works