From the Long Beach Airport, you can take the 710 freeway south to the end (about where the Queen Mary sits) and turn left, south. Make your way to the coastline, and Long Beach will be on your right. You can find a parking spot along the strip, or continue to Belmont Shores & Seal Beach - any of these beaches are fine to enjoy the sand and surf.
Disneyland is probably 20 minutes away to 45 with heavy traffic from the Long Beach Airport.