Try knittinghelp.com not only do they have free patterns, but they have videos just in case you get lost.

Good luck!

using double pointed needles

cast on 64 stitches and divide evenly amongst needles, leaving one to knit with. this should be okay for a newborn, if you want bigger increase cast on by 8 stitches, or 16 stitches

knit for about 4-5" (or as long as you want the hat to be)
knit one row placing a marker every eighth stitches
knit a row, decreasing with a k2tog at every marker
knit one row
repeat the decrease row
knit one row

follow the decrease pattern til you have only a 3 or 4 stitches left. thread yarn through those stitches and pull to close hole.

alternatively you could knit an i cord at the top. google i-cord and you should get hits with video demos.




Even more basic than that:

Knit a long rectangle, same as you would a scarf. Then fold it in half lengthways and seam up the sides. Voila! square hat.