This is a charming little rose called "Alfred de Dalmas" akas
"Mousseline" from the 19th century, you can see the moss growing
on the stem, but no flowers this time of year, he only flowers in
our late spring. The blooms are tiny, so are the leaves.
No pruning for this one, its the wrong time of year when they only bloom once.

Here is a photo taken many years ago of the little rose. The broken icon works if you click on it.