AMS, this is going to depend heavily on the weapon firing the bullet.
Most semi-auto and full-auto weapons depend upon gas blowback to slide the receiver back to load another bullet. That is, the gases expelled from the discharge of the round are funneled back through the weapon to drive the mechanism. This helps to disperse (to a large degree) the recoil of the bullet being fired.
It's also gonna depend on the size of the round being fired. The M-9 Beretta, for example, fires a nine mm round. The design of the weapon, and the lightness of the round allows the gun to fire three rounds before the recoil of the first shot is felt by the shooter. In other words, the mechanism is operating faster than the force from the recoil is transferred back to the user.
But it is generally a myth of Hollywood that bullets cause people to fly back through walls and shit when they get shot. For the most part, people just drop. And if a large round (or number of rounds) hits a person with enough force to physically move them, it's probably going to do some nasty and messy things to the body before that happens. A .50 cal round is more likely to destroy whatever body parts it's hitting before slamming the target through the air.
A friend of mine used the .50 cal Browning M-2 during the first Gulf War. That round hits a target in, say the hand? It tend to blow the guy's entire arm off. And I don't mean it just falls off. I mean that arm is gone.
For a bullet to physically drive a person through the air when it hits, it would have to confer its kinetic energy fairly evenly across the person's entire body.
Which defeats the purpose. Instead, they focus that energy into a very small point of impact, generating an evacuation of soft tissue and a sort of cavitation. You can see this more clearly in the ballistics gel that Mythbusters occasionally uses.
But, when you see guys getting hit while wearing ballistic vests (which do disperse the kinetic force across a large space) you will see guys getting knocked down on their asses. Not so much flying through the air, but still, that's about as close to what you're talking about as reality will get.
So, while that's still a lot of force being transferred, and many guns will still deliver quite a kick back to the shooter, most of the force is dispersed through blowback mechanisms or other forms of recoil compensation, like muzzle breaks or what-have-you.
"You must be proud, bold, pleasant, resolute,
And now and then stab, as occasion serves."
Edward II: Act 2 Scene 1, by Christopher Marlowe