You can't reach the Statue of Liberty directly by bus, but you can take buses to Battery Park, where the Statue Cruises ferry terminal is located.
Try to visit before sunset for getting iconic background for your picture
In total, I found six statues of liberty and one torch from her in Paris. This is the first one. The second is on the Nina barge, moored on the left bank of the Seine at the Jena Bridge. The third one is on the Andre Citroen embankment near the tower complex between the Mirabeau and Grenelle bridges. The fourth one is in the courtyard of the Museum of Arts and Crafts. The fifth is in the Orsay Museum, the sixth is in the Luxembourg Garden. The torch on the left side of the Alma Bridge, the place of Princess Diana's death.