You should receive a pop up message, indicating that the submission was successful (if it was a CSV file, the message should indicate X number of records successfully imported). There is not currently a log in your account, or email confirmation to see this information, though that functionality may be implemented in the future.
If your students have already applied, the information you submitted matches their application exactly, and their application has already had an initial review (within 30 days of receipt), they should be updated/auto-approved if possible, within two business days typically. During peak graduation seasons, those needing manual approval may take slightly longer.