I used the tutorial from Making It Fun to make her apron. I made a few modifications (like no pocket because I was afraid I wouldn't have enough fabric), but it was so easy to make. I think it took about 40 minutes start to finish.
Julianna's completed apron
Making it Fun also had a tutorial for making a chef's hat, but I couldn't get the PDF to open. So I used one from Skip To My Lou. It was super easy too! The only suggestion I would have is to make sure you have unscented dental floss (the pattern uses it to help gather the hat), Julianna's has a nice minty smell to it. :0)
Julianna's completed chef's hat
I am so excited about how they turned out and I can't wait until we can give Julianna her birthday present! I know she will love it!