Not nearly everyone but I think that a significant amount of the global population would soon recognize its usefulness and use it instead of cash in their daily financial transactions. Also, I think we would see a boom in the merchant side of bitcoin: businesses offering discounts, promos and of course, items in exchange for bitcoin. It would be great for bitcoin overall since it would greatly stimulate the economy and circulate bitcoins instead of people hoarding it.
Bitcoin will gain more popularity by then and it will be used and accepted at majority of place but I don't think that it will be used by everyone, I think it will take almost a decade for that to happen.