Salman Khan said:
That would be a substantial gamma flux. However, 1 MeV gammas can be quickly attenuated in high Z materials, e.g., depleted U (Z=92), natural Th (Z=90), Pb (Z=82), or W (Z=76). Water can be used but the thickness would be greater.
I did a quick calculation with the PENELOPE code, and I find that with Fe (Z=26), nearly full attenuation of 1 MeV gammas occurs in 12 cm (down to 0.005, or a reduction factor of about 200); at 15 cm the dose is down to about 0.001, or a reduction factor of about 1000. It depends on the source strength and the required dose at the surface of the shield.
Using U, the dose would be reduced by a factor of 200 to 0.005 at about 4 cm, or down to 0.001 at 5.2 cm. Pb and W would be somewhere in between.
If one were to use water as a shield, those dose at 20 cm would only be reduced to 0.33 of original, at 50 cm, the dose is reduced to a fraction about 0.035. The dose is further reduced to about 0.01 at 67 cm, and to about 0.005 at 76 cm, and then to about 0.001 at close to 100 cm, or 1 m. One will see some bremsstrahlung radiation over several cm.
I did some quick and simple calculations. For a more thorough analysis, one would have to use the exact geometry of source and shielding, source intensity and source gamma spectrum, or a bounding energy, then follow up with an experiment with dosimeters.
Besides a high Z material, one would use distance from the source to reduce dose.