It should generate somewhere around 50-60 ft lbs of recoil. Hornady factory 270 grain ammo is listed as generating 4835 ft lbs of energy - that's a lot. I shoot a similar wildcat .375 that duplicates the .375 Ruger, however my stock was custom built to handle the recoil with a wide butt, sloping cheek rest and very straight pull. My barrel is 26" so velocity and recoil is up there.
Shooting off the bench will produce a mild concussion from the recoil, you'll get a headache. If you forget what you are doing, you will get smacked by the scope - real hard. That "big push" has one facet - it keeps coming back. If you forget and lean forward into the recoil, it will bruise you. Trick is to lean over at a 90 degree angle so recoil just pushes you back. If the forend isn't held down - muzzle flip will nail your forehead with the scope. Offhand same thing - you gotta hang on. Either way, these big bores will wear on you producing bruised shoulders, sore neck, etc.
This is not a cartridge for everyone, indeed it isn't needed for 99 percent of hunting. One thing is though, these big bores are usually very accurate, once flinching is controlled.