une allée couverte
The name of a covered walkway that surrounds a courtyard is a cloister.
An old covered walkway is called a stoa from Greek architecture.
Arcade
path
stoa
A promenade?
pergola
A covered walkway is basically like an outdoor tunnel, which is designed to keep employees and public in a dry and wind free environment. Find out more by visiting the site in the related links.
That would be a "walkway" or a "tunnel".
covered walkway a+
les fruits enrobés de chocolat
You either mean an Arbor or a Pergola... pergolas are usually attached to the house, but you can also build them free-standing.