Cheesy Rice Pilaf

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2 tablespoons unsalted butter

1/2 small onion, chopped 

1 small garlic clove, grated 

1 1/2 cups long-grain white rice, preferably basmati 

3 cups chicken broth 

1 tablespoon all-purpose flour 

1 cup whole milk 

1 1/2 cups grated Gruyere (about 6 ounces) 

3 tablespoons chopped fresh flat leaf parsley 

1 tablespoon chopped fresh chives 

2 teaspoons chopped fresh tarragon 

Kosher salt and freshly ground black pepper