As old as the internet itself is the use of pseudonyms, names that identify individual users but happen to be different from their "real" names. This practice differs from anonymity in that a unique identity follows the user from blog to board to email. I blog under a pseudonym, not because I wish to remain anonymous (I am trivially google-able) but because the 'nym has been my internet handle for years. To change now would confuse me and the people I converse with. There are myriad reasons for pseudonymity and anonymity online, something discussed at great length in many other venues. There has also been a recent push (putsch?) to rid the internet of these 'nyms. But I don't see a crisis here.
Google + has made it clear that they prefer "real names" which I'll admit is confusing to me, since I don't know my internet buddies' real names. Now, one of the first large-scale science blog networks, ScienceBlogs, has announced the end of pseudonymous blogging. Given that several of there most popular bloggers use 'nyms, this is clearly not an act against the practice itself but some larger business decision (I suspect, as do others, that National Geographic simply bought the network for it's domain name and plans to trash the old ScienceBlogs and replace it with something else, something which will not necessarily be worse.
The blogosphere, especially the science blogosphere, has undergone a lot of change in the last year or two, with network fracturing and new ones forming. From the perspective of the "back end" of these networks, they aren't simple to run, unlike opening a WordPress or Blogger site, but they offer other benefits.
I'll leave re-hashing the history of structure of blog networks to someone else---my point is that pseudonymity will survive Google+, ScienceBlogs, and whomever else prefers the name on your passport. Netizens want it, and they will have it, through commercial outlets such as Twitter or on their own via dozens of free infrastructure sites. Those of us who value choice in naming conventions will simply slip away from Google+, ScienceBlogs, and any other site that fails to offer us what we want. Our creativity will continue to drive the future of the internet.