If you're looking for a meeting place or a good stop around ½ or halfway between Hollywood and University Park, you can try Country Club, FL, which is about half an hour southwest of Hollywood, or about half an hour north of University Park.
About ¼ or a fourth of the way, you can stop at Carol City, FL. This is about 12 minutes southwest of Hollywood.
About ⅔ or two thirds of the way, you can stop at Hialeah Gardens, FL. This is about half an hour southwest of Hollywood, or about 15 minutes north of University Park.
If you drive straight through without stopping at all, the total distance is 31 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 45 minutes.