It has the same meaning. It means that you can relate to it, or that (whatever it is) is something you would do. Sometimes ladies will use <em>"it's so me"</em> when shopping for clothes meaning it's more my style or something I like.

By saying “this is so me” you’re essentially saying that you have the same qualities of whatever is being talked about.

For an example, if I saw a lazy, sleepy dog, I could that “this is so me” because I am also lazy and sleepy.

I hope this helps.