$1000 is 737 eur/m, you can certainly live like a student in Berlin that way (e.g. with roommates) but I wouldn't say "live well" considering the recent rent hikes. We're moving there now and just renting a small 2-room (1 bedroom) apartment can easily cost 600-700 eur/m (gesamtmiete).

You can do well with 1000 eur/m per person tho.