GMaps uses something else for the UI (the "slide from side" thing) and that's the problem.
Still, I'm not really complaining. As a developer I know it's hard to write something that both pleases you aesthetically, and is performant on all devices!
I'm not entirely surprised, admittedly - and depending on your use case (for me, anyway), it doesn't so much matter.
TL;DR You can't edit the name of your starred locations from the iOS Google Maps app.
There are several serious bugs in the saved locations functionality. I found that if you 'pin' a location (say a building) on the map (by pressing and holding) it will show the address. But when you 'save' it, the details of the address get 'lost' when looking at your search history. I ended up with multiple entries in my list titled 'Shinjuku, Tokyo, Japan' (which is the equivalent of, say, 'Manhatten, New York, USA'. Clicking each one still takes you to the correct location on the map, but they are impossible to tell apart in the list. Also then when using the 'directions' widget on the map and picking the destination, these saved locations appeared as longitude/latitude! I wonder if these issues are specific to Japan? I submitted feedback about this.
That being said, overall the app is quite impressive, and I'm sure it will improve.
I think for bookmarks, you have to sign in (with your Google account, or a dummy one) and save them in your account. Not sure though, haven't tried yet (and probably won't, as I don't need it).
And I agree about polish. You have a 4S. I have a 4. It barely makes 20 fps.