The 5 recent Google My Business Listings updates are:
Message - Receive SMS live chats from customers right from your maps listing. - How to
Scheduler or Menu Link - Include a link to your online calendar/scheduler. Or restaurants can link right to their menu. - How to
Questions - It's like a Q/A page but on your Google listing and you have to wait for customers to ask questions. - How to
Posts - It's basically twitter because you can't say much (meant for small updates like talking about the latest sale this Saturday). - How to
Free Website - This is a horrible idea but it's better than no website. I discuss this and other website builders here.
Here is what it looks like on a mobile device.
Most of these changes only show on mobile for now.
If you are going to use a calendar appointment service may I recommend Calendly.com because it is awesome and syncs with your Google Calendar.
Be sure to be measuring the success of your Google listing. Here is a screen shot of the overall metrics they show at first glance. Dig a bit deeper and you can see calls, messages, visits to your site... But be sure to store this data somewhere as they only keep it for 30 days.