When I looked through the East Village Youth Program "http://www.evyp.org/" website, It seemed like tutoring but not mentoring. Because of the website's mission I could know this was about mentoring and tutoring. The volunteer involvement opportunity looks clear.
So the volunteer or donor can contact program easily. And there are some links but need some more link for other Tutor/Mentor Connection web sites.
One of the leaders of East Village Youth Program will be participating in a panel discussion during the May 29 and 30 conference. I hope you'll meet them and learn more about what they do.