Digital magazines on google play/android Market: does it work like Apple newsstand?
I've never used the Apple Store, so I can't help you with comparing them, but to answer the parts that I can.

On a PC you can look through the website for the Magazines section of the Google Play Store to find magazines. You should be able to find areas for Top Magazines, Staff Favourites and various other Categories.

On your phone or tablet you can use the Google Play Magazines app or the Play Store app. Either open the Magazines app and press the overflow button at the top left and select Shop, or open the Play Store app and select the Magazines category from the top of the first screen.

If Magazines have only just become available in your country then it is very likely that Google haven't set up deals with all of the magazine publishers in your country yet, so there may be a smaller selection of magazines than you're expecting. I know that when Magazines became available in the UK it seemed to take about 3 months before some of my favourite magazines started showing up.