Yes lots of places do close, especially at the local level, but major tourist spots like Las Ramblas continue operating. However because of the high concentration of tourists in those spots the pickpockets are in full swing. Barcelona is the pickpocketing capital of the world and you need to take extra care of your valuables.
We have some tips for travel safety in Spain on the worldnomads.com safety hub at this link:
http://journals.worldnomads.com/safetyhub/country/199/Spain almost 8 years ago