If my refund says accepted does that mean it's been given to me already because my account has received anything

[mesquitebean]

Where are you seeing the term "accepted?"   Is that the status you see when you log into your Online TurboTax account?  If so, a status of "accepted" means your efiled return was in the proper format so that the IRS has agreed to start processing your return.

If your efiled return was accepted, then you can start monitoring it at this IRS website tool:
http://www.irs.gov/Refunds

Be sure you are entering just the  Federal refund amount, and not including any State refund.  

And be sure you are using the actual Federal refund amount without regard to any TurboTax fees if you chose to pay any fees out of the refund.

View/print your return and look at the actual refund amount showing:

    If you filed a Form 1040, the Refund Amount is shown on Line 76a.
    If you filed a Form 1040A, the Refund Amount is shown on Line 48a.
    If you filed a Form 1040EZ, the Refund Amount is shown on Line 13a.