You can access the store, you just cannot purchase anything.
On the banner at the top of the screen that shows "Playstation Network Playstation3 PS Vita" etc, etc. if you hover your mouse pointer over "Playstation Network" a box will appear below the banner and the second item is "Playstation Store".
You can browse games to your hearts content, read reviews, etc.
Personally, I find there are much better gaming websites out there that offer far more information than the Playstation store, but that's a matter of personal choice.
** Engage brain before putting mouth in gear **
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