Red Light District
Pleasure Quarters, World Of The Geisha
The red light district (花柳) world of the red light district is the red light district, though this can refer especially to the "pleasure quarters" or "world of the geisha" as well.
かりゅうかい
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
花柳界を経験してみるのが夢だったんだ。
I’ve always dreamed of experiencing the red-light district.