When crossing this bridge it might be nice to know it is named Pont Adolphe / Adolphe-Brücke / Adolphe Bridge / Adolphe-Bréck in French, German, English and Luxembourgish respectively. It spanns the little river Pétrusse and takes you from the southern end to the northern end of the town. The construction was began in 1900 and completed in 1903.
The bridge has become a national symbol representing the nation's independence.
The tower you can see in the background is the Bank Museum on Place de Metz. It is open Mon - Fri from 9.00 to 17.30, admission free.
Although Luxembourg is divided by steep cliffs into an upper and a lower part of the town it is still small enough to be best explored on foot.
You just have to make sure that you wear proper walking shoes as Luxembourg's city centre consists of many cobblestoned streets and squares.
The photo shows the sculpture "La Temperance" by Niki de Saint Phalle. It can be found at the northern end of the Place Emile Hamilius. The sculpture was erected in 1995 when Luxembourg was European Capital of Culture.
Luxembourg isn't too hard to walk around in, but here is a map you can enlarge and print out. It's from the tourism office, and I found it pretty useful.
Thanks, and enjoy.