Google Web Clipboard Client for iPhone and iPod Touch.
How to use:
1. Install Google Chrome http://www.google.com/chrome
2. Install the extension named Web Clipboard (by Google) https://chrome.google.com/webstore/detail/idonmcopbgceobhkdbikbdellmdogkih
3. In Google Chrome, to copy something, select it on the page, right click on it and select "Copy selection to web clipboard"
4. In iPhone, to paste it via GClipboard
Disclaimer:
1. GClipboard don't store any of your Google account and password, but only cookies, so you'll re-login when the cookies are expired. You can delete all the cookies by deleting GClipboard.
2. All the data would only transport between Google docs's server and your iPhone or iPod touch.