Nowadays, people in Japan have fun viewing cherry blossoms, drinking and eating.
It is like a picnic under the trees. People bring home-cooked meals, do BBQ, or buy take-out food for hanami. In popular hanami spots, there are even competitions for the best spots. If you do not like a crowd, you can go to neighborhood parks/gardens or other quiet places. The most popular kind of Japanese cherry (sakura) tree which can be found everywhere in Japan is somei-yoshino (Yedoensis).