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Set a large pot full of water to boil.
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Preheat broiler.
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Split buns from the top, slathering both sides with the half a stick of softened butter. Arrange buns on a baking sheet, split side up.
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When water is boiling, drop in shrimp and stir until they've curled and turned red, about 2 minutes.
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Taste one to be sure. Doesn't it taste just like lobster?! Amazing.
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Drain, run shrimp under cold water to stop the cooking, and put shrimp into a bowl.
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Toss shrimp with the half of a stick of melted butter.
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Put in the fridge to cool for about 15 minutes.
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When cool, add celery and mayonnaise and mix.
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Salt and pepper to taste.
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Put in the refrigerator to cool until the buns are ready.
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Put the buns 5-6 inches under the broiler and watch carefully. Broil for about 15-20 seconds until buns are browned and toasted.
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Fill buns with equal amounts of the shrimp mixture and sprinkle basil over before serving.