When the form is submitted, will my client receive a notification with form information?

upon submission will my client receive email notifications when a customer submits a form and if they do will it have all the info that was asked on the form as well

Yes. There is a default email alert set to notify with the JotForm registered email address. This email address can be changed if you need by following the guide below :

https://www.jotform.com/help/30-Notification-Email-Details

If you need to setup multiple email alerts, you can add new notifiers to your JotForm by accessing Email Wizard from Setup & Embed > Email Alerts > Add New Email. The following document shall guide you in add new email alerts. 

https://www.jotform.com/help/25-Setting-Up-Email-Notifications 

Also, you may be interested in sending a notification to multiple recipients by separating email addresses in recipient email field with comma.

https://www.jotform.com/help/39-Send-Notifications-to-Multiple-Recipients

Hope this information helps. Please get back to us if you need further assistance in this regard. We will be happy to help.