If you're looking for a meeting place or a good stop around ½ or halfway between Long Beach and Los Angeles, you can try South Gate, CA, which is about 17 minutes north of Long Beach, or about 17 minutes south of Los Angeles.
About ¼ or a fourth of the way, you can stop at Dominguez Junction, CA. This is about 9 minutes north of Long Beach.
About ⅓ or a third of the way, you can stop at Compton, CA. This is about 11 minutes north of Long Beach.
About ¾ or three fourths of the way, you can stop at East Los Angeles, CA. This is about half an hour north of Long Beach, or about 9 minutes southeast of Los Angeles.
If you drive straight through without stopping at all, the total distance is 24 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 34 minutes.