What were the Confederates originally after in Gettysburg?

Answer 1

Shoes

Answer 2

Robert E. Lee led his troops north to try to distract the Union from attacks on the South, by creating havoc within the Union in Pennsylvania and Maryland, and his army threatening to attack Washington DC.

*The question may refer to the myth that the rebel army was seeking "shoes" in Gettysburg, which has mostly been discounted. The Southern troops actually turned southeast at the city in reaction to skirmishes with the Union forces moving to intercept them. The shoe story was promoted by Confederate General Henry Heth in his memoirs about how the battle began.
Shoes.

Answer 3

Proving that they could invade the North, instead of just defending the South.

Davis hoped an invasion of the North would draw troops away from Vicksburg and allow a relief column to raise the siege.

Answer 4

Shoes