Google's mobile site and mobile search apps show a star icon next to local search results. If you are logged in to your Google account, you can star places directly from Google Search and quickly find them in Google Maps. After clicking the star icon, Google confirms that the place has been "saved to your map" and links to Google Maps.
Back in November, Google's Android search app got a Material Design upgrade. In December, the iOS app was updated and many of the new features were gradually added to the mobile site.