Am I required to buy the new chapters in order to continue to play Guild Wars?
No. Every purchase you make in the continuation of the Guild Wars saga will be your choice. If you purchase new chapters, you will gain access to new regions of the world, new skills and abilities, new items, new professions, and much more. And of course such a purchase will support the continued development of the game. However, if you choose not to purchase a chapter, you will still be able to play the chapters of Guild Wars that you own, and you will have common areas in which you will be able to play with and against your friends who have purchased the other chapter(s).