The IRS will start processing returns sometime on Monday, January 27, except for a few test returns that they pulled early. There's always a backlog when they first ramp up each year so you may not know anything for 24-48 hours or longer. There's no way to know yet how smoothly that will go. They pull returns from TurboTax in batches and in no particular order as far as I know.
You can keep monitoring the efile status at your Tax Home page. You should also get an email when it's accepted or rejected.