This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
The Western food restaurant was made in cooperation with famous sushi restaurants.
I'm working part-time at a so-called old fashioned Western family restaurant.
Oh, did you eat the western-style lunch set at that restaurant? Hahaha. No wonder you still feel full.