No, if you look at the screenshots on that page it's clear that when they mention albums, they're only talking about the search experience, not the picking experience:

https://developers.google.com/static/photos/images/picker-pi...

They also clarify this in the documentation: "Albums, favorites, and other common photos categories are not show [sic] directly. Users can search for photos using various criteria, such as keywords, dates, locations, and album titles"

The user can search for album names, but only the images from those albums are shown, and users can only select individual images. In the screenshots, you can also see that it shows that you can only select up to 2000 images. And you can see in the docs that only Image, Video and Motion type files are returned—there's no album reference that you can grab, and the URLs for these files expire after 60 minutes: https://developers.google.com/photos/picker/guides/media-ite...