How do I forward gmail raw email to a web service?

Question

I want to forward the raw email from my gmail to, say,

POST www.mywebsite.com/api/something?email={raw-email}

I feel like there ought to be an easy way to do this.. but my searches have turned up nothing. We'd prefer to use gmail, but if you know how I can do this with any mail server, that's helpful too.

Thanks!