Google Search Console provides detailed information on how your site appears in Google searches. It also includes tools for refining the way your site appears on Google searches.
For instance, you may need to use the "Fetch as Google" tool in Google Search Console to draw Google's attention to pages that have either changed or moved, increasingly the likelihood that they'll de-index those pages from search.
You may also want to ask Google to recrawl a URL that has been changed or added.
More information about how to help Google find, index, and rank your site is available from Google Help.