$jQuery(document).ready(function () {
  var searchText = $jQuery('.GoogleSiteSearch .AdvancedSearchForm .SearchText');
  searchText.wrap('<div class="InputSkin" />');
  searchText.addClass('HideInput');

  var submitElement = $jQuery('.GoogleSiteSearch .AdvancedSearchForm input').not('.SearchText');
  submitElement.addClass('SearchButton');
});