My Daughter and Grand Daughter has the project Runway by Brother from Wall Mart. They love them and have stayed with them after learning to sew.

teaching children sewing
 

For my granddaughter's 6th. birthday I gave her a very decorative sewing box which I purchased from Joann Fabrics. I made up a sewing binder with tab with all kinds of information about sewing: a sheet of basic sewing stitches(running stick, back stitch, blanket stitch), downloaded embroidery instructions for simple embroidery, a sheet introducing sewing machine parts, a piece of material with all the different stitches my machine can sew, a list of videos on U-tube on how to sew, the last tab was where she could put pictures of her finished work

I also put some white practice fabric with lines so she could practice the different stitches, a simple picture I drew of a bunny in a yard with different flowers she can practice on, a simple picture to embroider with embroidery thread, a more difficult embroidery kit, and basic sewing supplies, and 5 coupons for five two hour sewing lessens. She loved it !!!!

Then for my other 5 year old granddaughter I made a crocheting box with all the necessary pictures along with crocheting supplies.

I have 9 grandchildren and five of them are girls. I used to be a special education teacher and learned you have to start with the very basics. One of my granddaughters really got into the crocheting and started a little group in her kindergarten class where she was teaching the children how to crochet.

The next step is learning how to sew on the sewing machine and knitting. I love passing on these skills. I know they certainly enriched my life.

I think, no matter your granddaughter's age, get her a "real" machine.

You did not mention her age - or her interest level -

PS - Welcome to The Quilting Board -

I learned to sew on my mom's 301a (I still have the machine and still use it extensively for piecing). I would not buy a "kid's machine". I think it's a waste of money. An inexpensive Brother with speed control would probably be a good choice. She can sew on it for years whereas she will outgrow a kid's machine in no time.

Sewing machine for a child
 

I bought my 10 year old granddaughter a inexpensive Singer. She is now 14 and I’ve been giving her sewing lessons via FaceTime. For Christmas I am going to upgrade her machine but will probably get her a Janome because the quilt shop is near her home. I have had my 5 year old granddaughter on my Bernina 931
Whichever machine you get her/then buy an adult machine.

I agree with an adult machine, but nothing too extravagant.
I have 3 boys and when they were little they were fascinated with my machine. I taught all of them how to use it by
around 5 or 6.
My youngest son really took off with it. In high school he made all kinds of wacky clothes! Everyone thought he was so cool.
I think it's a nice skill to have no matter the gender.
Only one of their wives sews so she's going to get a lot of stuff when I croak! lol :)
Welcome to the board!