I can not open my App Store on M1 MacBook Air. Got it yesterday, updated it to Monterey.

Hi sourav6969,

Welcome to the Apple Community.

Congratulations on the new M1 MacBook Air!

Re: I can not open my App Store

Your Apple ID is the account you use to access Apple services,

like the App Store, Apple Music, iCloud, iMessage, FaceTime, and more. 

How to create your Apple ID if you do not have one::

How to create a new Apple ID – Apple Support

Try signing your new Mac in to your Apple ID

Sign in with your Apple ID - Apple Support

says:

1. Choose Apple menu  > System Preferences.
2. Click Sign In.
3. Enter your Apple ID and password. 
4. If prompted, enter the six-digit verification code sent to your trusted device or phone number and complete sign in.

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Troubleshooting, if needed:

What to do:

If you can't open the App Store or iTunes Store, buy content, or edit payment information - Apple Support

If you can't connect to the App Store, iTunes Store or other Apple services – Apple Support

If you can't download or update apps on your Mac - Apple Support

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Support from Apple:

App Store Support has a website online.

(There's a :Get Support" link at the bottom of the webpage that opens from the link):

App Store - Official Apple Support

Apple phone numbers around the world

:Contact Apple for support and service - Apple Support

All the best :-)