The website doesn't prevent POSTing a form to it. So you could always just create your own webpage with the form that points to it.
HTML
<form id="search" action="http://whois-service.ru/lookup/" method="post">
<input type="text" class="text" name="domain" id="domain" />
<input type="submit" value="" class="button" />
<input id="submit" type="hidden" name="real" value="true2.1simpleJ" />
</form>
c#
private void button1_Click(object sender, EventArgs e)
{
webBrowser1.DocumentText = "[The HTML from above here]";
webBrowser1.Document.GetElementById("domain").SetAttribute("value", IP.Text);
webBrowser1.Document.GetElementById("submit").InvokeMember("click");
}
If you are planning on scraping the WHOIS information. You must ensure it's not against the terms and conditions to do so. Most WHOIS services don't allow automated checks.
If they do and that's what you are trying to do then you should consider using HttpWebRequest instead, it's much more efficient. See an example here on how to use http://swhobby.blogspot.co.uk/2010/03/c-example-of-http-post.html