Once your story has been published, you can use the live link to send it to your friends or family, or post it on social media. When you're doing so, just be sure you're using the published link to your story—this will be the link that's emailed to you when your story is published, and the one you'll see when clicking on your story from your public profile or the community homepage.
If you're not sure whether you're using the published link, just take a look at the URL—it should have the name of the community directly following vocal.media, like vocal.media/viva, or vocal.media/geeks. If the link says vocal.media/stories, that means it's not public on a community—that link is your own personal link to the stories in your account, so it won't be visible to anyone who's not logged into your account.