In a large pot over medium heat combine butter, garlic and onions and sweat for 5 minutes until onions are soft and translucent. Stir in artichoke hearts, vegetable broth and Champagne. Season with salt and pepper. Bring to simmer over medium heat and let simmer for 6 to 7 minutes.
To serve, laddle the hearts into a bowl.
Recipe courtesy of Sandra Lee, 2008