Welcome to Box Community, and we’ll happy to answer your question regarding Box Search.
Yes, you can search within the file contents and it’s available for word documents and google docs.
The content within your files is also stored within the Box search index. The following file types support file content search: ‘boxnote’, 'csv', 'doc', 'docx', 'gdoc', 'gsheet', ‘gslide’, ‘gslides’, 'htm', 'html', 'msg', 'odp', 'odt', 'ods', 'pdf', 'ppt', 'pptx', 'rtf', 'tsv', 'wpd', 'xhtml', 'xls', 'xlsm', 'xlsx', 'xml', 'xsd', 'xsl', 'as', 'as3', 'asm', 'bat', 'c', 'cc', 'cmake', 'cpp', 'cs', 'css', 'cxx', 'diff', 'erb', 'groovy', 'h', 'haml', 'hh', 'java', 'js', ‘json’, 'less', ‘log’, 'm', 'make', ‘md’, 'ml', 'mm', 'php', 'pl', 'plist', 'properties', 'py', 'rb', ‘rst’, 'sass', 'scala', 'script', 'scm', 'sml', 'sql', 'sh', 'txt', 'vi', 'vim', 'webdoc', ’yaml’.