Taragon is a distant cousin of the anise family, I think. It has a pungent aroma, with a slight minty, licorice like flavour. I did not like it at first, but now I love it. It goes particularly well in butter sauces, like a compound butter or a bearnaise sauce, and is well suited to beef or chicken.
Try making "Chicken Kiev". If you are kosher, then use a suitable margarine. Chop up about 1 tbsp of fresh tarragon, mix it with about 4 tbsp of the margarine and add salt and pepper. Cut a pocket into 4 chicken breasts and put 1 tbsp of the margarine in the pocket. Coat the breasts with flour, then egg, then bread crumbs and fry on medium heat for about 5 minutes on each side. Finish cooking the breasts in the oven until they reach a temperature of 170 F.
If you are feeling adventurous, add sliced almonds to the bread crumbs. Serve with mushroom wild rice and green beans (my usual choice).