brother printer app for macbook air

They're not the same - what you can install in your iphone doesn't mean you can do it to your Macbook Air.

Try going to Brother's website and see if you can download the App you need for your Macbook Air.

Brother printer drivers are usually included with the Mac OS, so you may not need one.

I suggest you connect the printer to the Mac, and try to set it up.

Go to: Apple menu / System Preferences / Print & Scan. Click the + (bottom left), and follow the directions on the screen.