[I'm on a learning mission to figure out what are growing around my house.] Here is something I can't come up with any guess what it is. It has these hard wood sticks coming out in between the leaves.
Your shrub appears to be a Hydrangea macrophylla lacecap variety, judging by the flower on the top left of the image. These do often have dead sticks sticking out from previous years and should be pruned back to the base. You might find you can just snap them off with your fingers though.
Your plant does look a little stunted - the flowers are smaller than one would expect, as are the leaves, so if this is not some kind of dwarf variety, it may be your plant needs fertilizer and/or regular watering.