This is the 337th most frequent Japanese word.
紙
Paper.
Here, '紙' refers to a sheet of paper for writing.
この紙に名前を書いてください。
Please write your name on this paper.
In this context, '紙' is part of the word '折り紙', referring to paper used for folding origami.
私の趣味は折り紙を作ることです。
My hobby is making origami.
In this sentence, '紙' is used metaphorically to describe how light the clothing is, comparing it to paper.