The "New Bridge" is actually the oldest one in Paris over La Seine. You can take beautiful photos from this bridge. But my favorite thing to do is go under the bridge and have a picnic by the Seine River. If you go there early enough (4-5pm), you can sit at the tip of L'île de la cité under the magnificent weeping willow. Bring wine and your baguette + charcuterie and spend the evening there like many locals when the weather is warm.