Google index - An index is a list of data, such as group of files or database entries. It is typically saved in a plain text format that can be quickly scanned by a search algorithm.
When you say Console Index - are you referring to Search Console if yes, well Search console is define as It allows webmasters to check indexing status and optimize visibility of their websites.
By checking your site index status in Google you may use this console (Site:yourdomain)