How to download blink app on my MacBook Pro?

There seem to be a lot of apps with "Blink" in the name in the App Store. Please be specific about which one you're asking about.

Do you mean the Blink Home Monitoring app? If so, it's only available for iPhone and iPad.

Depending on what Mac you have and how the iPhone/iPad app is coded, you may be able to use it on your Mac:

Use iPhone and iPad apps on Mac with Apple silicon - Apple Support

In very broad general terms, most familiar sites you access with an App on your phone can quickly and easily be accessed from a Browser on your Mac, because Mac Browser has the advantages of more processing power and a huge backing store that is impossible on your phone.

So for example, there is no need for a FaceBook APP on the Mac -- just use a Browser.

Most of those apps are made for iOS and Android handhelds and not the Mac.