I am a new knitter as well and I just recently did a scarf using a 3x3 rib pattern and that turned out well, but the scarf that I am most proud of is one that uses double knitting, giving you that V pattern on both sides and hollow in the middle.
The pattern that I used was one of those free patterns that are in the yarn section.
Here it is:
I used 4ply worsted weight yarn, using size US 13 (9.0mm) needles.
Cast on 44 sts.
Row 1: *K1, yarn forward, sl next st. from left needle to right needle as if to purl, yarn back; rep from * across.
Row 2: Rep row 1 (make sure to knit the stich that was slipped and slip the stitch that was knit on the previous row). Work to desired length.
Special bind off: *K2, pass right st over left st, K2tog, pass right st over left st; rep from * across. Weave in ends.
This scarf only took a day to make (that's after only one rip out) and found it very easy once I got used to slipping the stitches purl wise to the right needle.