I came across this article recently...apparently "not much" is a very relative term...
How much does The New Yorker pay its poets?
http://www.mhpbooks.com/how-much-does-the-new-yorker-pay-its-poets/
Anyway, if you'd like to get paid such paltry minimum wages for your stories and poems, you can use their online submission form...note that they want the submissions as PDF attachments...
The New Yorker - Contact Us
http://www.newyorker.com/contact/contactus
If the pdf attachment thingy doesn't work for you...you can send your poems in the body of an e-mail, along with your contact info and bio to this e-mail address: [color=darkblue]
Here's more on fiction submissions, including the e-mail address...
QUESTIONS FOR DEBORAH TREISMAN: The New Yorker
http://www.newyorker.com/online/blogs/ask/2008/12/questions-for-treisman.html