Hi @JHayes30,
HubSpot email notifications require recipients to be HubSpot users – that would be the requirement for someone to receive notifications.
Once they’re users, you could grant them access to whatever inbox you use for receiving SMS: Send SMS messages in the conversations inbox
Once they have access, they (or you) can customize their notifications to receive emails for new assigned or unassigned incoming messages within that inbox: Set up user notifications in HubSpot
For non-HubSpot users, this is a bit more complicated. You could consider setting up an alias or shared email address as a fictional HubSpot user. All sales users would be under this alias. The rest of the steps above would be the same, only that it’s one shared user managed by you, not individually managed users.
Best regards