Hello there, @Bree2 ...
Assuming that you are an instructor...yes, you can get notified when students submit assignments to you. This is all controlled by your personal notification settings.
If you look under the "Course Activities" heading, you'll see a line for "All Submissions". If you hover over any of the text on that page, a little pop-up description will tell you a bit more about what the notification specifically does.
I hope that this will be of some help to you. Sing out if you have any other questions....thanks! Take care, stay safe, and be well.