I discover I am already a member of Google. Apart from that, I found it a rather a mystery tour even so. This is what I did:
After your passing on the request to Google, I received an email from Google with a link to what I shall call the blogger registration site.
The blogger registration asked for Google account details: if you're not a Google member, there's a link to the Google registration site. This I didn't need, and it's presumably this bit which you need to be clarified.
Back on the blogger registration site, having put in the Google account details, I was asked for a name which will appear as signature for my blogs, and for acceptance of terms of service.
I was then asked to create a blogspot of my own, and so far as I could work out at the time, there's no avoiding that. So this screen wants a title (such as "John Jones's boring blogspot" and a name to make the URL for the blogspot unique (e.g.you supplied the emsworthu3a bit in http://emsworthu3a.blogspot.com, the rest being a template). I was then asked to choose a template for my new blogspot. Having created the blogspot, I could then post messages to it (which I have declined to do, so far, the world being full of opinions already).
So I went back to the blogger registration site (2) above, re-entered the details, and, lo-and-behold, I had 2 blogspots at my disposal - my new one, and the Emsworth U3A one. So I can create blogs on both.
Posting the blog was a doddle, just provide a title and some content: I could look at a preview should I have wished to, and press the button marked PUBLISH. So once one is in the system, posting blogs is no problem.
I then tested the entry from the U3A Notice Board.
The normal entry for a fully registered user would be by the Sign In
route, I assume: it worked for me once I had spotted the right part
of the page on Google. I'm not sure about the other button
"Create blog": this leads to what I would have called the
"Create blogspot" page on blogger. Is this what is
intended, am I confused in my terminology? I'm making a distinction
between an individual notice and creating a site where notices are
put, calling the first a blog and the second a blogspot, but I've no
idea whether I'm right or not!
I hope the above is of some use.