GIMP Version: 2.6.11
Operating System: Windows
OS Version: Windows 7
GIMP Experience: Beginner Level

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In GIMP I want to know how to make a perfect curve in gimp and I want to know how to make cartoon objects like the GIMP mascot....

I also want to know how to make this.... ]

Or these

For a beginner, creating that animation would be difficult. First, you need to draw the character.

I don't understand what you mean by a "perfect curve." You can make curves using the Paths tool and they come out nicely.

The best way to learn the paths tool is to open your favorite character in Gimp - duplicate the layer.
Now create another transparent new layer to create your first segment on.
Now select the paths tool and begin tracing around each segment of the character.When you get to the end of the line and want to connect it again press the ctrl key on your keyboard and click the end node.That attaches the entire path together.For each segment create a new layer.When you are done go to your paths dialog Windows/Dockable Dialogs/Paths - for each path you want to outline select the path layer and select Edit/Stroke Path.Do this for each path layer until your entire character is outlined.Then do the coloring with gradients or solid colors.
Hint - Before you outline make sure your foreground color is the color you want (usually black for now).
This color can be changed later but black is much easier to see for now.
Hint 2 - SAVE all your paths do not delete any path layers.You can use them even after the image is saved as a XCF file.
Here is another hint - always stroke the path NOT the selection.
Either create a path and go to Edit/Stroke path OR make a selection go to Select/To path /Edit/Stroke Path.
That way you will get nice unjaggy outlines.

That's sorta the beginners tutorial.There is more, much more to it and you will learn as you go.
The important thing is to have fun and take your time.AND NEVER STROKE THE SELECTION!
I can not emphasize that enough.

Good luck and welcome to Gimp Chat!