When running git fetch, that gives some numbers:
$ git fetch upstream
remote: Counting objects: 77, done.
remote: Compressing objects: 100% (23/23), done.
remote: Total 47 (delta 19), reused 39 (delta 11)
Unpacking objects: 100% (47/47), done.
From http://github.com/jbossas/jboss-as
ef19bd4..b5015c1 master -> upstream/master
Are they useful in any way? I'd like to know e.g. how many commits was fetched happened in that remote. Which seems not to be contained in these data (in this case, it was 5 commits).
(I know I can see log or whatever to see that; just wonder what's that for.)
It's how many objects are going to be fetched (or had to be fetched). An object can be anything of: blob, tree, commit or tag.
So, the most simplest commit would be composed of 2 objects: The commit object and the (empty) tree object. Add one file, and you've got three objects: commit+tree+blob.
To count the fetched commits, use git rev-list to parse the commit range ef19bd4..b5015c1:
git rev-list | wc -l