What you are looking for is called "depth of field". Depth of field refers to how much in your frame is in focus and increases with the f-stop. It also increases with your focal length (how far you are from the subject)
It can be pretty difficult to achieve a shallow depth of field with a point and shoot (non-slr) camera, but if you have a manual mode, you may still be able to get it.
Switch your camera mode to "manual" and set the f-stop to the smallest number you can ( f1 - f2.8 if possible) Hopefully you can set your camera to "aperture priority" which will keep the f-stop the same, and automatically adjust your shutter speed and ISO accordingly based on how much light is available. If "aperture priority" is not an option for you than you are going to have to experiment with your shutter speed and ISO settings.
The brighter it is, the faster (or higher number) your will need to set your shutter speed to, and the slower (lower) ISO number.
Last thing you will need to worry about is your "focal length", which refers to your distance from the focus subject. The further away you are, (the larger focal length) the wider the depth of field, the closer you are, the shallower DoF you will be able to achieve (out of focus stuff)
The easy way to achieve shallow depth of field, without having to manually change any settings, is by getting as far away as you can, and zooming in all the way to your subject. If your camera is capable, you will likely be able to notice some depth of field. Maybe not though, I'm not too sure how far your zoom is and how low your f-stops will go.
I hope this helped!
If my explanation is too convoluted (I'm pretty crappy at the teaching thing) just google "depth of field" and look around for a more friendly explanation
One last thing - if you cant get a shallow depth of field in-camera, there are many photo editing programs that are able to give the DoF effect afterwards, play around with some of the different filters or get a plug-in for Photoshop.
hope I was able to help!
