Making a new meeting usually requires going into your calendar app in some capacity, but the new version of Sunrise offers an alternative. You can simply switch to the Sunrise Meet “keyboard” to set things up. They call it a keyboard, but all it really has in common with other keyboards is that it’s in the keyboard area of your screen.
Ideally, you’d open Meet when you’re sending an email or message to someone with whom you’d like to see in meatspace. After you’ve created a new appointment on your end, you get a link that can be sent to the other person. They can accept or modify the invitation even if they don’t use Sunrise. Meet will show your availability when they do this so you don’t end up double-booked, but it doesn’t actually show the content of you appointments to the other party. Forgive the iPhone video.