The physics simply won't let you do this.
The usual approach to protecting against high-G forces is to immerse the squishy organic thing in liquid. However, the tricky bit is that the liquid must be as close to the same density as the brain as possible. Our body already does this. The brain is protected with a layer of liquid in this way. However, the 90–100G's that occur when a football player collides with another demonstrate the limits of this. The liquids are not quite the right density, and a concussion results.
Sustaining those G forces is even harder. In the football case, there's no much time to shift the fluids around. In a sustained case, there's time for the blood to respond to the forces. Hydrostatic forces are defined by $P=\rho a\Delta x$ where $P$ is the pressure exerted, $\rho$ is the density of the fluid, $a$ is the acceleration and $\Delta x$ is the difference in position of two points in the direction of the acceleration. At $a=1000m/s^2$ (roughly 100 gees) and for water ($\rho=1.0\frac{g}{cm^3}$), you find that the hydrostatic force is 1,000,000 pascals/m (9.8 atmospheres/m). Across a brain ($\Delta X=.15m$) we see a force of roughly 1.4 atmospheres. That is a lot, but it probably doesn't mean much to most people, so let me convert that into a unit that more people are used to seeing. Systolic blood pressure is ideally around 120mmHg. High blood pressure can drive it higher. Exercise can get us up to around 220mmHg. The hydraulic forces we are talking about here are on the order of 1100mmHg!
Now this won't immediately cause an aneurysm. If you get the densities just right, those forces should be counteracted by the fluid pressure around it. However, this will have all sorts of strange effects. The body really is not designed to be subjected to those forces.
For example, what happens if we pull more gees? What if we pull 300gees? That's three times the force, so you'll see three times the pressure: 4.2atm. That's the equivalent of going 40ft underwater! Anyone who's a diver knows what that means: we're going to have to pay attention to "the bends." Nitrogen can enter the blood at very high concentrations on one side of the brain, get shuffled along to the other side of the brain in its natural flow, and then emit bubbles of nitrogen on the other side! This could be resolved by using special mixtures like heliox which don't have nitrogen, but it shows just how strange this could be. Professional divers, such as underwater welders, often have strange neurological symptoms associated with the effects the pressure has on them, even with fancy mixtures!
Finally, there's the elephant in the room: not everything in the brain is the same density. Even if you tried to do this perfectly, you'd still have the fundamental issue that different tissues have different densities. This means that, no matter what density fluid you pick, you're going to get it wrong for something. Get it right for the blood, the grey matter is too dense and moves. Get it right for the grey matter, and the blood now applies enough pressure for aneurysms.
To pull this off, your cyborg would have to replace virtually all of the brain itself. Stick to nothing but neurons in a vat whose density is exactly equal to that of the liquid in the neurons, and deal with the difficulty of feeding those neurons (most of the mass of the brain is actually helper cells whose sole job is to keep the neurons fed and happy).