The speaker longs for the quiet solitude of nature. Currently, the speaker lives in an urban setting (in the second to last line of the poem). He has been dreaming of going to such a place and being able to relax and enjoy his life, rather than scurry about like he does in his stressful city life.
This line just means that he will be able to relax and have peace. This line gives action and/or power to the word "peace." Normally, peace and powerful do not go together--but here it shows how important it is to have solitude. If it comes "dropping slow," then it will be a long, drawn-out process and the peace will continue on for the speaker. That is exactly what he wants. He longs to get away from the hustle and bustle of city life and enjoy the everlasting peace that nature offers us.