Get published by reading? Well, it's not quite that simple; but it's still important. I'd like to share with you a very short YouTube clip of Stephen King addressing an audience of young hopefuls, providing a little advice on what to do to get published. The first point is summarised when Mr King says, "If you don't have time to read, you can't be a writer."
So make time to read. If you're going on the bus, or the train, or to the doctors surgery: bring the novel, or short story collection that you're reading. Read before you go to sleep. Read instead of watching the drivel that's on television.
I also really love the last sentence of this clip, because I can relate to it so strongly. "There's a magic moment - a really magic moment - that will always come to you if you want to be a writer, where you put down some book and say, 'This really sucks. I can do better than this; and this got published."
Take a look, then get reading, get writing, and get published.