I'm using CM11 nightlies on my GNex.
I've seen on Nexus 5 or in the screenshots in the internet that when you search in the dialer it searches in the internet as well.
In my case - only my contacts are displayed as results. But not internet results of the nearby pubs etc.
Is CM11 realy using Google Dialer?
Google Now is enabled in my phone (if that is somehow related).
EDIT: Well.. I think I have found my answer here:
Seems that this dialer is not included in CM11 (and might never will) and we need to flash zip or install apk and deal with crashes, bugs etc.