How to design a webpage , where i could copy credentials from one website and paste it in another website

ill explain in detail here , website 1. i have user name and password , two elements are present in this site, and third element is button1 to clcik website 1 address is www.website1.com

wbsite 2 let take this one as gmail site , it also has three elements , user name ,password and enter button , address is www.gmail.com

. . when i enter the web address www.website1.com , after entering user name, password if i click button 1 then with the provided credentials the gmail.com website shuld be opened,

is it possible??

Please provide the answer it is urgent