You can convert the Gridview to html or excel then send this file via email.
For e.g.
private string GridViewToHtml(GridView gv)
{
StringBuilder sb = new StringBuilder();
StringWriter sw = new StringWriter(sb);
HtmlTextWriter hw = new HtmlTextWriter(sw);
gv.RenderControl(hw);
return sb.ToString();
}
protected void SendMailButton_Click(object sender, EventArgs e)
{
MailMessage mail = new MailMessage();
mail.Body = GridViewToHtml(GridView1);
mail.IsBodyHtml = true;
}