I would suggest mixing up your squares so you have no 4 alike in any of the 4 patches. You'll want to (probably) draw a line on the back side of your squares 1/4" away from the edges - this will be your seam line. Do as charsuewilson suggests...make up one 4 patch; then another and so on. Then put the finished 4 patches together into a row as wide as you want your quilt to be. Continue making 4 patches until you get enough for the size quilt you want.
You'll want to knot your thread - and I would use it doubled - start sewing with a basic running stitch. If you know how to do a back stitch, so much the better. When you get to the end of your seam, knot your thread again before clipping. If you're not familiar with either a running or back stitch, look up those terms and you might find some useful demos for hand sewing.
Not sure what kind of rulers you may have, so if you don't have one with a 1/4" marking; use something close to that. Since you're using 4" squares, consistency in your seam is more important than the actual measurement here. You just want everything to line up correctly.
You can do this!