Thankfully, if you are currently enrolled at a university, you can find help from your campuses' Fulbright Adviser who you could probably locate at your study abroad office or by searching here. If you have recently graduated, do not fear! You, too, can apply, however, you will want to contact your alma mater to see if you may apply through them. If alumni support is not available from your graduating institute, you can apply as an "at-large" candidate, which means you will not have access to on-campus resources to help you with the application process. The application for the 2017-2018 grant term is closed, but you can start exploring the country/grant options on the website now to get an idea of what will be available for the 2018-2019 grant term. The applicant page shows you the steps for applying to the Fulbright Program.
Applying is not as daunting as it seems, however, you do need to put in the time and effort if you want to finish with a strong application. I found an abundance of guidance from past and current professors as well as my coworkers while I was applying. Hence, use the people and resources around you for support! Don't be afraid to reach out for help and constructive feedback from others.
If you are interested in applying and would like to talk to me more about the process, feel free to send me an email or comment on this post.
Information in this post was found at https://us.fulbrightonline.org/