SketchUp. It is free to use and you can make 3D drawings. When I first planned out stuff in my backyard I went into detail with the shed, but I just drew circles or cylinders where plants and
trees were going to be located. There is a rather steep learning curve, but if you just want to make a 2D flat design to start out with then it isn't bad. I would suggest looking up videos or
books such as 'SketchUp For Dummies' as well as
A Series Of Videos At Woodgears that has helpful information.
The thing I like most about SketchUp is how precise it is. You can create several objects and then measure different distances between each part, angles, and clearance while still in the planning phase before spending any money on a failed venture. If you have more time than money then it is an excellent tool. If you have more money than time then it might be worth spending a few hundred dollars to pay someone else to make the 3D drawing for you. You can always save the file to modify at a later date or use it as a reference to measure clearances for future projects.
If you get serious into this, the best thing I learned was from one of the Woodgears videos - turn every piece you make into a component. It is amazingly frustrating trying to move or modify something and have it get skewed out of proportion because it acts like it is still 'attached' to a different object. Some of the functions are not intuitive and need to be learned from some source such as YouTube. You can easily waste a lot of hours doing things the hard way (ask me how I know).
You can also use graph paper, but you might want to use the metric system as it is easy to make mistakes trying to divide things up in tenths of a foot as opposed to inches. Getting good measurements of the area and not assuming things are perfectly square (checking with the 3-4-5 rule)
should help you make a scale canvas to which you can plot things out.