well first you have to know a little but about both these people.
find things they did and have in common
and things they dont have im common.
(Comparing and contrasting)
here is a thesis that might help you start
but don't use this one just use it as an outline.
John Smith and William Bradford are two explorers that came to America to write about the New World. There are many comparisons and contrasts between William Bradford and John Smith. Both Bradford and Smith were early American writers. Bradford and Smith’s works of literature describe the pros and cons of the New World. The first similarity between William Bradford and John Smith was when they first settled in America they wanted to teach the Indians their ways of life. This included religion and the way that they live in a more “civilized society”.
here is some background information on both of them.
1590–1657, governor of Plymouth Colony, b. Austerfield, Yorkshire, England. As a young man he joined the separatist congregation at Scrooby and in 1609 emigrated with others to Holland, where, at Leiden, he acquired a wide acquaintance with theological literature. Bradford came to New England on the Mayflower in 1620 and in 1621, on the death of John Carver, was chosen leader of the Pilgrims. He remained governor for most of his life, being reelected 30 times; during the five years in which he chose not to serve, he was elected assistant. Bradford, though firm, used his large powers with discretion, and there were few complaints about his leadership. He maintained friendly relations with the Native Americans and struggled hard to establish fishing, trade, and agriculture. He stressed the obligations of the colonists to their London backers and was one of the eight colonial “undertakers” who in 1627 assumed Plymouth Colony's debt to the merchants adventurers. Given a monopoly of fishing and trading privileges, they finally discharged the debt in 1648. Bradford was more tolerant of other religious beliefs than were the Puritan leaders of Boston (although he was by no means consistent in this respect), and he was largely responsible for keeping Plymouth independent of the Massachusetts Bay colony. His famous History of Plimoth Plantation, not published in full until 1856, forms the basis for all accounts of the Plymouth Colony. The editions of W. T. Davis (1908), W. C. Ford (1912), and Samuel Eliot Morison (1952) are the best.
Captain John Smith:
(c. January 1580 – June 21, 1631) Admiral of New England was an English soldier, explorer, and author. He is remembered for his role in establishing the first permanent English settlement in North America at Jamestown, Virginia, and his brief association with the Virginia Indian girl Pocahontas during an altercation with the Powhatan Confederacy and her father, Chief Powhatan. He was a leader of the Virginia Colony (based at Jamestown) between September 1608 and August 1609, and led an exploration along the rivers of Virginia and the Chesapeake Bay.
His books and maps may have been as important as his deeds, as they encouraged more Englishmen and women to follow the trail he had blazed and to colonize the New World. He gave the name New England to that region, and encouraged people with the comment, "Here every man may be master and owner of his own labor and land...If he have nothing but his hands, he may...by industries quickly grow rich." His message attracted millions of people in the next four centuries.