Low-time job
Most aviation programs graduate students with Commercial-Instrument-Single-Multi ratings, CFI-A-I-ME ratings and about 250 hours.
You have to work your way up the ranks to get the better jobs. The better jobs require more experience. There aren't too many jobs open to 250-hour pilots. Examples would be flight instructing and banner towing. As you build upwards of 1000 hours and 200-500 hours of multiengine time opportunities improve.
At the point you'll begin to qualify for the regional airlines, which have been a good stepping-stone to the majors. After you've been with your regional awhile and have logged at least 1000 hours of PIC (Captain) time you will be competitive for the majors. However, if you've followed the news as of late you'll have noted the majors are in trouble. It's very possible the majors as we have known them will scale back drastically and regional airlines will the career for those who want to pursue airline flying.
Anothe option is military flying. Military pilots get some of the best flight training in the world and build experience in highly-sophisticated equipment. The majors like that. In addition, the military essentially performs the human resources screening function for the airlines. Officers fly the aircraft. The military is selective about whom it accepts as officers and even more selective about whom it trains as pilots. Military pilots have the qualities the majors desire in its pilots, so they know basically what they're getting in a former military pilot. You have to commit several years if you fly for the military, but you can get on directly with the majors after you separate. An important point, though, is when you're in the military it is your career. Airline flying is a career change.
Hope that helps. Good luck with your plans.