Our content team will review the information you provided, including the images. If everything is correct and images are in the right sizes and are unique (not four versions of the same image), submission will start. You will be notified on an ongoing basis on status via email but you can also check status in the dashboard. There you can see an icon for the app store status (appears when you move the mouse over the icon. It looks like an arrow pointing up).
Some stores will require action on your part which includes clicking links sent to your Google Play account and logging in to your store accounts using credentials created for you (they can be found in your publisher profile). One store requires action within 24 hours of creating the link so do keep an eye out.