A true "gold standard" means that a unit of currency (e.g., "dollar") has a certain amount of commodity backing it (gold, in the "gold standard" instance), and that the currency can be exchanged for that commodity at the designated exchange rate.
The amount of gold per dollar is fixed under a gold standard, so a dollar on one day gets the exact same amount of gold as does a dollar the next day.
The U.S. went off the gold standard (currency "backed" by gold) in 1933. After WWII it allowed central banks to exchange dollars for gold at a set rate ($35 per ounce of gold) however that ended in 1971.
But iust like gold doesn't have any "backing", there is no backing for Bitcoin.
There could be a paper currency (or electronic transaction) that has bitcoins as the backing. Essentially that is what every hosted (shared) EWallet provider offers -- an account through their service which presumably every BTC deposited is still available for withdrawal (e.g., they haven't spent it, invested it, loaned it out, or lost it).
Redeemable codes would be an example of an electronic currency that is has backing where each BTC issued is 100% backed (with a BTC held). There's no way to audit that to guarantee that they have full backing though.
So just like gold doesn't have any "backing", it makes no sense to have backing for Bitcoin. Bitcoins themselves have value, due to their scarcity and other reasons.
If you are looking for a guaranteed value in case the bitcoin exchange rate drops then there are PUT options that you can buy. That's an investment product though and not a part of the currency itself.
[Update: If you want a gold-backed electronic currency, Peter Schiff's Euro Pacific Bank Ltd (not available to those in the U.S.) essentially offers that.]