Lady Justice does not always have her eyes covered: for example, contrary to popular belief, she does not wear a blindfold on top of the Old Bailey.
Sometimes she is depicted by artists as being blindfolded, and sometimes she is not. (Perhaps wisely, those statues and paintings which have Lady Justice blindfolded tend to have her with the sword safely lowered; and whether someone brandishing a sword whilst wearing a blindfold is an appropriate image for any system of justice is a matter of opinion.) But there is no consensus among painters and sculptors as to whether Lady Justice should be wearing a blindfold or not.
There is similar inconsistency in what parts of the justice system we are allowed to see, as members of the public or even as jurors or parties to a claim or prosecution. Some parts of our legal process are open, whilst other aspects are hidden from our view. This is because there is no general principle of open justice in the jurisdiction of England and Wales: it is often a game of pass the blindfold as any court case continues.