request has been deprecated as of February 2020, I'll leave the answer below for historical reasons, but please consider moving to an alternative listed in this issue.
I did something similar but I used request instead:
var request = require('request');
app.get('/', function(req,res) {
//modify the url in any way you want
var newurl = 'http://google.com/';
request(newurl).pipe(res);
});
I hope this helps, took me a while to realize that I could do this :)