On back of my alternator is looks like it has an extra connector with the intials "GRD" by it, does the alternator have a ground wire?

 

No the alt should get a ground through the engine the 3 wires it should have are
1. the heavy charge wire
2. feild wire, I think its orange and goes to the reg.
3. stator wire, wht and black usually runs the elec choke

 

Please review:

 

As KF said, the alternator grounds through the engine block. However, most alternators do have a ground stud which is simply integral to the casing. This can be used to wire a direct ground between the alternator and one of the regulator mounting bolts to give a slightly more accurate sense (otherwise the regulator ground is shifted by any resistance in the ground connection between the inner fender sheetmetal and the engine block).