Web design is a fun hobby to have. It can also be a lucrative job to have also. Most people who like web design are those who enjoy drawing art. Most are good artists though this is not always the case sometimes you can be a web designer with minimal art skills although it is usually very rare for this to occur.
As a web designer you are pretty much responsible for every aspect of a website's look, from the background, to where links and things are placed. Good organization skills can come in handy in this respect since links and things need to be organized and well thought out or the design may not look very good. You should plan out beforehand where you intend things to go so that you are not making up things on the fly.
Being a web designer you may be asked to create all original artwork for the website that you are designing but this may sometimes be provided to you by whoever you are working for, it all depends on the client that you happened to be working with. Some may already have a basic idea of how they want things so things like artwork may have already been developed.
Hobbyists can find designing sites for friends and family to be a fun and relaxing way to spend their time while showing off their creativity. Some hobbyists even charge to design websites for people if they are asked. Working as a web designer is probably a better bet at getting paid for your work however since you will be devoting your time into something you enjoy, and if you are good enough it can be a well paying job.
Many web designers go to school to get a degree in design so that they have something to show that they are good at what they do if they apply for jobs but this is not always a necessity, it all depends on the position you wish to acquire . There is no reason for someone who does not have a degree to not be able to be successful in this field, it just depends on how you go about things.