Contact your bank once you’ve sent in the form and they should give you a checklist of other items they will need as part of the process and inform you of next steps.

Banks will start accepting the forms on April 3, 2020.

The bank will likely require additional supporting material which you can provide after submitting the above form. At minimum, banks will require payroll tax reports filed with the IRS (Forms 941,940 state income and unemployment tax filing reports).
Below is an overview from the SBA of the Paycheck Protection Program:

You can expect your bank to receive many applications so the sooner the better. If you work with a CPA firm you or your attorney should contact them as soon as possible to update them about where you are in the process and any additional information they may be able to provide.