I have the ACU uniform. THe newer style with the grainer type camo print.
Lucky you otherwise you’d be stitching them on as we type!
As noted US ARMY above, goes over left pocket, name tape goes over right pocket. Did they give you a US Flag? If so, that goes on left sleeve pocket flap. Your unit patch will go on right sleeve pocket. Not on the pocket flap, but the main pocket itself.
http://www.armyg1.army.mil/hr/uniform/default.asp
That site contains an interactive diagram showing you the proper wear of the ACU.
Congratulations on joining the ARNG. I recently came back into the USAR after a 15 year break in service. The ACU and beret were totally new to me also.
Do well, and thanks for your service.
I hope that showing up on your first day with the National Guard with oddly placed patches is the worst thing that ever happens to you as a Guardsman. :o)