It is a pretty simple fabric covered basket. (this one also has some extra details of pearl beads) It is pretty quick and simple to make and I will attempt to do a tutorial for you.
To make the basket I started with a (I was making two baskets so many pictures show 2) a 32 ounce yogurt container (or cottage cheese container or anything the you think is a good size for a basket) and I cut the top off to make it a little shorter. I also took a handle from an ice cream pail. The other item shown is quilt batting.I cut out fairly round fabric that is big enough to cover the bottom and all sides and a little ways over the sides on the yogurt container. For this basket I hand sewed a bunch of pearls on but that is not a necessary step.
I hot glued (watch out this can be very hot!) batting around the handle. Then I used a paper punch and punched a hole on either side of the top of the container (about 1/2 inch down) and then snap the handle in. Hot glue the fabric down on the ends so that the handle will stand upright. I cut a strip of fabric around 3 inches wide and about 1 1/2 times as long as the handle. Fold the strip in half (length wise) with the right sides together and make a 1/2 inch seam. Turn so it is right side out and slip over the handle.
I hot glued (watch out this can be very hot!) batting around the handle. Then I used a paper punch and punched a hole on either side of the top of the container (about 1/2 inch down) and then snap the handle in. Hot glue the fabric down on the ends so that the handle will stand upright. I cut a strip of fabric around 3 inches wide and about 1 1/2 times as long as the handle. Fold the strip in half (length wise) with the right sides together and make a 1/2 inch seam. Turn so it is right side out and slip over the handle.
Then set the basket in the middle of the wrong side of the circle. Hot glue as shown on the middle of the front and the back. Glue the fabric down all the way around, pleating it up as you go. The using some fabric sew a little bag that you can glue inside for the lining.
That is the last step, You now have a pretty little basket! I am doing this tutorial when I am rather sleepy and I know it is not very detailed. If you have any questions feel very free to ask in the comment section!