The command you want is
git ls-remote which allows you to get some information about remote repositories, but you cant show history or list directories or anything of that level: essentially it only lets you see the remote objects at a very high-level (you can see the current HEADs and tags for example).
The only real way to do what you want (if I understand correctly) would be to use ssh to run a remote command and return the results, for example:
ssh me@otherhost "cd repo && git log -n 10"
What you want would be lovely functionality if they could add it, but from what I read it's not very easy since getting history etc needs a lot of information to be local to git, and at that point you may as well have done a git fetch.