Step-1: Add a button and a label in .aspx page.

<asp:Button runat="server" ID="Button1" Text="Check Internet Connection" onclick="Button1_lick"/>
<asp:Label runat="server" ID="Label1" />

Step-2: Now on the click event of the button write down the code in .aspx.cs page. Add a namespace

using System.Net;

protected void Button1_Click(object sender, EventArgs e)
{
try
{
WebClient wc = new WebClient();
byte[] dataSize = null;
dataSize = wc.DownloadData("http://www.google.com");
if (dataSize!= null && dataSize.Length > 0)
Label1.Text = " Connection is Available.";
else
Label1.Text = " Connection is not Available.";
}
catch (Exception ex)
{
}
}