I went to locksmith and had a new key made and he told me it was a VATS #11 blank key but he could not tell me what the GM value is. Is there anyway I can get this information in case I need to get a resistor to bypass the system?

you can get a multimeter and test the resistance

it will be one of these

1 -- 0.402k
2 -- 0.528k
3 -- 0.681k
4 -- 0.887k
5 -- 1.130k
6 -- 1.470k
7 -- 1.870k
8 -- 2.370k
9 -- 3.010k
10 -- 3.740k
11 -- 4.750k
12 -- 6.040k
13 -- 7.500k
14 -- 9.530k
15 -- 11.80k

And if it does not read with 5%-10% of those values listed above then the resistor broke down. In that case, test a spare key or you can pick up a few resistors to make all the values and end up testing one, waiting 3 minutes, testing the next. wait 3 minutes.

The suggested activity while waiting is drinking beer. It'll help keep your sense of humor going. Having a buddy to drink with is always recommended.