You could make individual squares and then join them or you could crochet a single piece, changing colors to make the 64 squares (8 across x 8 down).
Here's how I'd do it:
1. Decide on the two or three colors to use (one for one set of squares, one for the other set of squares, and possibly one for the edging).
2. Work a gauge square to get the number of stitches and rows per inch worked with that yarn and that hook.
3. Decide on the dimensions I want, making sure it's divisible by 8. That would be 40" x 40" (without an edging) or 48" x 48" or 56" x 56". Let's say I choose 48" x 48". Each square would be 48" / 8 or 6" on a side.
4. I would then calculate the number of stitches to chain based on my gauge square. Let's say I had 4 stitches per inch. 48" x 4 stitches per inch is 196 stitches. And each square will have 6" x 4 stitches per inch or 24 stitches.
5. Using the border color, I would chain 196 stitches.
6. Using one of the two "squares" colors, I would work one additional chain (for the turn), then single crochet 24. I would change color on the 24th stitch and then sc 24 in the new color (again changing color on the last stitch).
7. I would continue across the row, working 24 sc in one color, 24 sc in the next color, until I had 8 color blocks.
8. Turn, working 24 sc stitches in the same color pattern.
9. Alternate rows 7 and 8 until the squares are 6" tall, then reverse the color pattern.
When I had 8 rows of 8 blocks, I'd fasten off and work a border (probably a border of stripes of the two colors, mitering the corners.
While one simply make 8 bobbins and drop the colors at the end of each block (the color change in the last stitch joins the blocks), one could also use just 2 balls and crochet over the carried yarn of the "other" color. Carrying the yarn and crocheting over it will make a denser fabric.