How to use Custom Google Search just instead of loop

When we activated Custom Google Search the search results appeared on the site but the sidebar and other elements are missing and as result the content looks without styles. Looking the source code we found the plugin use the function "display_search_box" to show the search results and it use "get_header" and "get_footer" functions to work.
The question is: There is a way to use this but using search.php or another template file?