Putting a URL, for a preview, in a side bar

Simply placing a url isn’t going to embed a webpage within a webpage. You could use an iframe.

<iframe src="http://yoururl"></iframe>

To display the page content from that url.

You could also capture the page via php and scrape it for the information you need but you would have to create a custom widget for this.

$some_variable = file_get_html('http://www.google.com/');

would be the basic code you need to get started.
If you need to do custom formatting on whats embedded the second snippet will get you started you’re just going to have to do some regular expression matching to capture what you need for output.