I hate to be that guy but a lot of what you're saying is going way over my head.
No problem, glad you asked instead of just ignoring things. Understanding the words is just as important as understanding the electronics.
Are you saying that I need another supply of power to the op amp along with the 5V coming from the DAC?
Yes.
Also will the op amp have two output lines for both +5 and -5V to connect to the laser galvo driver?
No.
This is a concept that beginners find hard to grasp, but when you say a voltage is is not an absolute measure but is always relative to some other reference point. This reference point is called ground or more precisely signal ground.
Now look at this diagram is shows three batteries wired in series.
On the left the ground is the -ve connection of the lower battery. The top battery can be considered to be at a voltage of 4.5V with respect to ground.
In the middle the ground is considered to be the junction of the lower two batteries. You have what we call a split supply which could be described as 3V 0 -1.5V. Note we have a negitave voltage rail of -1.5V, that is because we are taking a reference from a different point to the first diagram.
In the third arrangement we have 1.5V 0 -3V voltage rails.
You need to supply your OP-amp with a split supply like this. When you do this the the output of the op amp can go to any voltage between the two power rails.
Diversion - modern op-amps can go "Rail to Rail" but others can't get closer than about a volt or so to the rail voltage
If you want a D/A to output a negitave voltage you have to feed it with a split supply. So however you drive things you need to have a split supply. This means using a second power supply, or one that delivers a split voltage, or something that makes a negitave voltage from your positive one.
One that I mentioned was a switched capacitor circuit, see this link https://www.allaboutcircuits.com/projects/build-your-own-negative-voltage-generator/ and the "555 driven negative voltage generator" about half way down that page.
The disadvantage of this sort of circuit is that the drive current is limited but that might not be a problem if the driver has a high input impedance.
Anything you don't understand then please ask.