Good question. If you have associated the domain name with a website (hosting with content such as text and images) the first publication can take 24-48 hours. Subsequent updates are near real time.
However, you mentioned you see a "coming soon" page. This makes me wonder if the content is in place and the domain (DNS) is set correctly to display the content. Rather than wait the 24-48 hours more than once, I suggest you contact 24/7 Support to assure everything is set as you intend it to be.
I hope that helps,
Thomas D. - GoDaddy | Community Moderator 24/7 support available at x.co/247support