Hello, a newbie question : is block generation deterministic?

What I mean is if I were to install the original bitcoin program from january 2009 on a Windows PC unconnected to the internet (or maybe connected to another PC in a local network for validation if needed, without any connection to today's true blockchain), and use as a seed the same data as described here https://en.bitcoin.it/wiki/Genesis_block and start mining, would it generate the next few blocks with the exact same characteristics as in the true blockchain? 

Thanks.