San Gorgonio is in the San Bernardino Mountains, roughly 100 miles east of "The Valley."
The mountain still has a fair amount of snow on it. There are several routes. The most popular day hike is the Vivian Creek Trail, around 9 miles one way. It is definitely do-able by a person in good shape. People have also died on it -- it's wilderness. If you go on a weekend in June or later, it is likely to be free of snow and there should be plenty of people around.