'Ground state' is the energy level of an atom, molecule, or larger assemblage when it is at lowest energy; in this case talking about electrons in orbitals.
Think about ordinary hydrogen. 1 electron, 1 proton. Apply enough energy and you can rip that electron completely away from the proton. The amount of energy needed to rip that electron away depends on how much energy it had to start with. But there is a lowest energy orbital that the electron can be in, called the ground state.
As more protons and electrons are added to an atom, the different possible orbitals get filled up in order of lowest energy to highest. In general the electron in the highest energy state is the one available to move around. (Glossing over lots of details that I don't fully understand. You too can be a quantum mechanic!)
In a dense material like a solid (as opposed to a gas) the orbitals of the individual atoms blend together, and you should really think in terms of electron energy bands.
In a metal, the 'highest occupied energy band' is only partially filled. This means that only a smidge of energy is needed for an electron to move into a free state and move around.
In an insulator, the 'highest occupied energy band' is completely filled. For an electron to move around a large amount of energy needs to be added to rip it from the occupied band into an energy band where it can move around. Apply enough energy (say in the form of an intense electric field, or bombard things with high energy particles) and yes, you will get current flow. I don't know if porcelain will ever 'look like copper', because the energy needed for getting electrons to flow might be so much that you've vaporized the material and now have current flowing through an arc, but apply enough energy and you will have conduction.
In a semiconductor the 'highest occupied energy band' is completely filled, but an un-occupied band is available that isn't much higher in energy. This means that things like the random thermal energy of the electrons in the material is enough for some of them to be in an unoccupied band where they can move.
-Jon
In a metal 'open' electron states are available right next to occupied electrons states, so the electrons are really really free to move.
In a semiconductor, there are well defined energy ba