I am submitting a form that redirects to DocuSign and fills all the details in the PDF file. The user has to sign on the form. Once the user submits the form, it remains in the DocuSign page. Is there any way to redirect the user to my website there contains the link to perform? Is there any way to check the user has signed on the form.
Yes it is certainly possible to set a redirect when a power form is completed, please have a look here: https://support.docusign.com/en/articles/How-do-I-specify-a-URL-to-redirect-to-when-a-Powerform-is-completed
You can check who has signed on the form from within the "powerform" section in the ui.