He 主语
pushed his way 艰难前行-谓语+宾语
through the crowd of people 介词+介词宾语->方式状语,通过拥挤的人群
to get close to her 动词不定式作状语,表示目的,为了接近她, 这个动词不定式中,get 动词,close是形容词,to是介词,her是to介词的宾语