Click on the member's name that you're interested in establishing a connection with and visit their profile page. If you think it's a desired match, look under their profile image for the "Send Request" badge, which will allow you to request a connection. If it is not a desired match, you can simply select the back button to return to your previous search results.
Reminder, you will need to complete step two (to enrolled in the program) to request a mentor or coach.