So a f/1 & f/32.. the f/1 = bigger, f/32 = smaller.. but the aperture makes the backround blurry (smaller aperture (opening) = blurry backround?)
Did I get this right?? (does it also blurr the backround if its a still image, still focus?)
In practical terms, yes. It happens for still images also. take note, that not only the background but also the foreground would be blurry (in the images of the flowers there is no foreground, so you cannot see this effect)
To be more precise, you need to understand other stuff.
The lense can only focus perfectly on a very limited plane. This plane is parallel to the film or sensor. Further and closer to that plane, the image is not perfectly focused. This imperfection, or blurriness does not happen in a big step, but gradually. In fact, there are areas beyond and before the focus plane that appear to be in focus to the human eye. The space that appears to be in focus is what we know as Depth of Field (aka DOF). The DOF varies with aperture. Less aperture more DOF, and vice versa.
Here is an article on DOF. The first image (text on a book) shows how the foreground (text: "camera has hyperfocal") and background (text:"hyperfocal distance opposite") are blurry, while part of the image is in focus (text: "are using...to infinity").
Take a look at the whole article, but don't get lost on the formulas.
Does aperture automaticly change the shutter speed??
Good question, you are getting the hang of this...
To get the same exposure, if aperture is changed, exposure has to be changed to compensate. There is an infinite number of combinations that would give you a correct exposure.
How this is done, depends on the camera mode. In your case and the modes available on your camera, it will be done automatically.
Like I wrote before (at least this is what my automatic camera is supposed to do, I can only guess yours will do something similar)... when you set a specific mode, like portrait, the camera decides that you need a shallow DOF to get the subject in focus and the background blurry... for this, it selects a wide aperture. To compensate, it also sets a fast shutter speed.
For your "assignment", try to find an image like the one with the flowers. There should be a subject that stands out... and a background several feet away from it.
You can also try something like the book. A long, flat surface with recognizable features. In this case the camera has to be at an angle regarding this surface, so you can get part of this surface near and the rest going farther away.