Spot on - that’s exactly right.
If you go to Account Settings >> 3rd Party Integration >> SMTP Settings, you can enter all the details there.
The from address is picked up from Account Settings >> Routine Emails. Apart from that, enter your SMTP details, we’ll send you an activation email to confirm everything is working all OK. Just enter this code, and job done 
There’s more details with a few screenshots, here: Sending mail from your own SMTP Server