If you are among beginners then you are better off renting your surf equipment or alternatively borrowing it from your friends. Never buy expensive equipment available everywhere and constantly advertised. This is because there is always the chance that you will not enjoy surfing. Also, new wetsuits and good boards are definitely expensive for most budgets. Always remember that beginners should not use shortboards and the fact that you would buy a longboard and then throw it away can be a total waste of your money.
When you just start learning to surf the most important surf equipment needed is a big board. It is preferred that you use one board that is bigger than 8 feet. Any good foam longboard is going to aid you in easily catching waves while not getting hurt doing so. When you are just beginning size stands out as important.
Now if we talk about using a wetsuit there is a need to analyze your personal budget first. You should talk with local surfers in order to properly understand what you are going to need. One complete wetsuit is usually necessary in the event that you are to surf where the water is colder. In the event it is not then we can just use boardshorts as a part of our personal high quality surf equipment. On the other hand, if you can afford it then you should think about a wetsuit because it will make sure that you can surf longer.
Now that we are in front of a surf equipment that comes with a board and maybe a wetsuit you are not to need extra items. You might want to think about investing in a surfboard leash. If yo do not want to rent a board you might also want to buy surf wax for your new board. All the extra surf equipment recommended by others is actually optional. You can, of course, visit different surf shops so that you can see other items that can be bought as time will pass and you will get better. Once the starter surf equipment is purchased you will not need much more.