No it doesn't, thats part of the problem - without being able to examine the city, I can't tell what bonuses it has, what resources it has, or what I was building it for. The popup simply says 'pick a spec', without any other information, and locks your view, so you can't go and check yourself.

It's been like that since the beta (at least since 3 that I know of). It IS rather annoying.

Well, you do actually get the city overview in the lower left side of the screen, once that level-up window pops. But I agree, it would be nice to be able to examine your city more closely at level-up.

The city stats  are in the bottom-left (basically your city is pre-selected). It's not quite as nice as being able to click the city and look at exactly what it is at that moment, but it is more than good enough to judge what upgrade to get.

In theory yes, but in practice, I find it is routinely insufficient information. Two examples are, I'm in the process of building bonus buildings, so the final total output isn't shown, and my influence doesn't reach far enough, but there are one or more exploitable resources I would like to plan for.

So glad when this bonehead stuff is out of the way. I hope "interface" issues will get equal footing against balance issues in the patch cycle.