It totally depends on the details of the fictional universe.
For a thumbnail estimate, 1 G a change in velocity of 10 meter/seconc in one second. (not quite but makes math very easy)
Example: If you can get up to lightspeed(300,000 km/s) in 5 minutes, that's 1,000,000 G, totally dead.
But it also depends on the background on whether the you're doing actual Newtonian movement or some sort of apparent motion. For example, in Traveller 2300, the stutterwarp creates micro wormholes to instantly move a ship a km or so, and does this several times a second (I remember the concept but not exact number). Ships appears to move but wouldn't have any inertial effects. In this case, artificial gravity just makes it easier to mover around and have stuff stay put, but the effects wouldn't be huge.
Trek warp drives do something similar.