Same gun -- using the FULL OFFICIAL NAME or the more common "nickname". (It may represent a new Official Name. But it's the same gun.)
On the CZ website, they once called the P-01 the CZ-75 P-01, and now they call it the P-01. (CZ made some minor production changes, and dropped the NATO Serial Number from newer versions -- and that may have prompted them to change their nomenclature at the same time.)
There's also a new P-01 Omega, which is the same basic gun with a slightly different fire control system. The Omega system in this version of the P-01 is user changeable from decocker to safety (or vice versa).
As I understand it, this new, simpler system has a better trigger out of the box, but either version is quite good when tuned by someone who knows what they're doing. The older (traditional) style trigger breaks-in nicely after several hundred rounds.
I bought a used P-07, and it's got a GREAT trigger.