The West
Western Countries, Western
noun, の adjective
Go west until you encounter Western style buildings and customs and languages everywhere. Hey, you've made it to the West!
西洋 refers to Western countries, especially European and English-speaking countries. It's the same kind of "West" that people mean when they talk about Western culture and all that.
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
西洋の国にはまだ行ったことがないんです。
I haven't been to any western countries yet.
ハグは西洋の文化だと言えるでしょう。
We could say hugging is a part of Western culture.
西洋人は家の中で靴を履いて過ごすんですか?
Do Westerners spend their time in shoes at their homes?