We don't currently have any concept of public profiles open to the internet as a whole, so (at most) we're talking about visibility to recruiters on our platform. (In this case, it turns out that OP had in fact enabled visibility in the past - see the response from our CEO at
https://news.ycombinator.com/item?id=31771836)
You can get a shareable link to share on e.g. your personal website if you want to, but you have to manually enable it.