After reading your name, the first two girl names that came to my mind was Julia and Gina. I personally like Julia better but both are common.

https://www.ssa.gov/oact/babynames/decades/century.html Here’s a link to the most common names over the past 100 year in the U.S. If you choose one from around the year you were born, you’ll fit right in. Otherwise you can look through the list and see if you like any. If your coming to the U.S. don’t worry about it too much as some people can have very unusual names and no one cares too much.

Gia, it sounds similar in english

Why sound natural? - just a question. English has many non-natural sounding names. It's like wandering round in China & seeing people wearing shirts with English words on them. Wander round elsewhere, you'll see shirts with Chinese character on them. You don't have to sound natural. You can be exotic. Just an opinion. Choose as you see fit. Names that sound-alike or start with a "J" may help if you will be called them. Jane, June, Jacky, Jacqueline, Jacinta, jasmine, Joy, Julia, Jeena, Jean, Jenavieve, Jenna, Jess, Jessie, Jessica, Jenny, Janet, Josephine, Joanna, Jill, JIllian, Joan, Jennifier, Juliet, Judith, Judy, Jewel, Jodi, Jody, Jina, Jade, Jinny (popular from Harry Potter), Jude, George, Georgina, All have meanings, that most people don't know, so wouldn't worry too much. Of course, you could consider, "Jia".