We don't know anything for sure yet, as Bungie has not made an official statement regarding this particular question.
My personal guess is yes, at least for PS4 (which it's required for to play [i]most[/i] games online anyway). PS3 may be able to play online with just PSN, but again, there's been no confirmation one way or another as of yet.
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Thanks, I'll mark this as the answer since Bungie hasn't made any official statements. I'm crossing my fingers for the answer to be "no."
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Please bungie say no to Ps+! I don't want to use my PS3 to play destiny!
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