If you have an iCloud Photo library already in the cloud you have two options to access the photos:
1 - go to iCloud.com, sign in and access the library there.k
2 - in your local library go to the Photos/iCloud preference pane and enable iCloud Photos. Also make sure the library is the System Photos Library in Photos General preference pane. Depending on the size of the library in the cloud it may take up to a week to download all of the photos to your library. If you don't have enough room on your MBA to house all of the full sized photos then enable "Optimize Mac Storage" so that sized reduced versions will be stored on your MBA.
