Google at I/O announced a bunch of updates to Google Assistant and Google Home. Let me sum up the announcements in bullet format for all those who are busy:

Google Assistant is coming to iOS devices
Google Home devices can make phone calls for free, without a phone number attached to it.
Proactive notifications are coming to Google Home but who looks at their Google Home
Type to your Google Assistant on phones
Google Lens lets you take photos and converse with Google Assistant around that
and it is expanding to more countries and languages

You can learn more over here.

Forum discussion at Twitter.