To add to what the others have said, the main bond at the service panel is essentially a 'bootleg ground'.
The term 'grounding' has multiple meanings. One is the connection of something to an electrode buried in the soil. The other is the _bonding_ of all metal that isn't supposed to be carrying current to _one_ of the circuit conductors. The purpose of this _bonding_ is to ensure than any fault between other circuit conductors and the 'non-current carrying metal' causes a short circuit which trips a breaker.
The circuit conductor that gets _bonded_ is also the circuit conductor that gets _grounded_, so the bonding is frequently called grounding, and the green wire that is supposed to carry fault current is called an 'equipment ground conductor'.
That green ground screw connects the grounded neutral wire to the enclosure. It is very similar to a jumper going from a neutral to a ground wire at a receptacle (a 'bootleg ground'). There is one _critical_ difference. You should only _bond_ a current carrying conductor to the ground system at _one_ location, and only _one_ location. When you bond at more locations then all that bonded metal, which is not supposed to be carrying current, ends up being in parallel with your neutral conductors.
You actually see this in practice, because the NEC mandates that you bond at one and only one location per service...but the power company provides many services with one transformer, and at each service the neutral gets grounded. In locations where one of the grounding electrodes is metal underground water piping, you often see a substantial amount of neutral current flowing on the plumbing.
Going back to the original question: if you are checking the _bonding_ you make sure that this panel is the one where you are supposed to have the bond, and then you check continuity across the ground screw. If you are checking the grounding electrodes then you look for the grounding electrode conductor and make sure it follows the appropriate rules to the appropriate electrodes.
-Jon