Sounds all good, yes. That's generally the way I do it, except I prefer to also grab a paper boarding pass at one of those automated kiosks at the airport. Like the others said: The QR code should be enough on its own, though.
If you have luggage to check in, you show them your boarding pass, so that it can be registered to your ticket.
Depending on where you are, you might need a valid ID with you. USA is a PITA that way. Here in Europe you can usually fly without ID, as long as it's domestic.
Tip: If your ticket includes it, you can probably select seat in advance so you're not stuck in a middle seat at the back. Preferences vary, but I prefer a window seat as far in front as possible.