Give it a go is a fabulous expression, used to encourage someone to make an effort or attempt something or to say that you are going to try something. It is frequently used in the context of something you have never tried before or are hesitant about trying.
This expression implies that you should try (give) something (it) just once (a go) to find out if you like it or can do it.
You’re not artistic? You should still try making pottery–you may just end up liking it! Go on, give it a go!
Why don’t you give it a go and see if you like it.
-Want to learn Chinese?
-Well, I’ll give it a go!