It depends on the type rings and cylinder finish.
Chrome rings in a cast iron cylinder will take at least 1000 miles of street driving.
Standard cast iron rings on a relatively rough honed cylinder (you can easily see and feel the hone marks on the cylinder wall) take at least 500 miles.
molly rings in a fine honed cylinder (cylinder walls look like a mirror) will seat as soon as you do the bedding procedure below.
To bed new rings, take the car out where you have room to alter speed without getting rear ended. With the car in 3rd gear, accelerate under full throttle from about 20 to about 60 mph. Then take your foot off the throttle and allow it to coast back to 20 mph, still in 3rd gear. Repeat about 10 times and you have bedded the rings. The accel loads them against the cylinder to mate them...the coasting provides vacuum to draw oil up and cool them.
Finally, if you are using parts supplied from the big 3...you have cast iron rings, so 500 miles is probably your answer. Oil usage should drop to nearly nothing by that time.