The memory is going to be your limiting factor, and of course, since you can't upgrade like (like you can in just about every other notebook), there's little recourse.
I would personally skip that machine if running CS6 is your primary task.
I agree with cwa107 - 2GB is probably enough to run the OS plus a browser and a few other apps - but if you want to run Photoshop CS6 - you are going to need more memory.
To give you an idea - I am running 4GB in an MBA - I have ~1.7GB free and all I have is 8 tabs of Google Chrome, Pathfinder and Earthdesk running.
I fire up Photoshop and all by itself it is about 151MB - which isn't much. The problem is when you start editing photos and adding layers - it starts to chew memory really quickly.
Concur with above. My 11" MBA has the max for it's time of 4 GB and my 2012 13" has 8 GB. Those work fine but 2? Very doubtful and certainly very slow.
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