The Lync/Skype for Business clients don't use Service Connection Point (SCP) to determine the autodiscover URL. Instead, they rely on DNS records. They base this action on the user’s domain suffix of the WindowsEmailAddress or Mail attribute in Active Directory
I've been on G Suite for two weeks and so far my impression is that provisioning is broken, GMail is actually just as bad as Exchange, and Keep is the only good thing that they make. Google Docs aren't bad, but not great. That they are fast and completely hosted is nice, but they are no LibreOffice, that's for sure. Hangouts and Meet are crippled to the point of useless. Hoping once @Romo takes over management of G Suite that he can sort some of this out. But overall, not impressed, at all.
Why'd you go G Suite over MS?
Already in place, and with engineering moving with pedal to the floor, not a good time to rip and replace the existing infrastructure. Won't put in MS, though. We've got zero dependency on that stuff, no reason to consider Exchange.
I realize that part of that is the expectation of the technology and not the technology itself and I have nothing against IM, I'm using it right now. It's just not a replacement for email, it is a supplement.
@GregoryHall's method is what I used to do this exact thing a while back.
Only thing I wasn't able to figure out was how to automatically add the group to people's lists - I ended up writing up some tutorials on how to add groups and which one to add for one of our departments that needed to use S4B.