For this you need to use any smtp plugin .
or may use WP-smtp mail plugin that is freely available on wordpress.org .
If you are using godady hosting Use WP SMTP Mail plugin .
To configure it refer this link
To set Up recipient mail address .
Go to Wp-Admin << Setting << general << Find the email address field .
Enter the email address on which you want contact form email .
Let me know for any confusion .