The world changes as time goes by, the programs and languages we use to create websites and graphics have changed a lot over my career. I think Photoshop is up to version 10 or 11, but I used it back in version 2-3 for the first time. Similarly the languages which we create websites in have changed over time, as have people's expectations of what a website is and does. You can see a good overview here, (note that the style and design elements change over the history).
Years ago I started a job making advanced MicroSoft Word documents and then moved into a position incorporating more graphics and editing changes. From there I moved to a small company where I had to do more graphic design, and being a small company found myself needing to program websites, now that is all I do. Over this time the skills and technology required have become much more diverse. I used to use Dreamweaver and Photoshop. Now I switch between about 10 programs from basic text editors through to software which does 1 thing very well. With responsive design and the changes in technology the skills and software are shifting again.
You are starting your journey and it might take you some time to discover those skills that you have and the things you like and are good at.
While the tools change, and some of the expectations change, good design is always appreciated. There have been clever people since the beginning of time who have been able to take an idea and execute it well, to make complex things accessible and easy to use.
But not everyone likes design, some people like code, some like colour, some like words. If I were you I would find things online that inspire you to want to make, copy or create something like it, then find out what skills or software you might need to do it. There are tons of different ways to use computers and software that didn't exist in years gone by. That's part of what some of the replies here have been saying.
Regardless of any of this is the importance of knowing your tools well. If you code for a living, learn your language well. If it is design, start from the basics and master them before moving on. You will never go wrong by mastering the tools of your trade.