I'll be the voice of dissent here and say that you shouldn't switch to synthetic oil. Not because synthetic oil isn't good, but because there is no need for it. You haven't told us that your doing anything special with your truck that would require synthetic oil. Yes, you can lengthen your oil change intervals, but doing it right require oil analyses and maybe adding additive packages.
You don't say which engine you have, so I'll assume it is the 5.3 as that is pretty common in Chevy 4x4s. Do the math. You can find regular oil for less than $2/quart (your engine takes 6 quarts), and a filter runs you $4 (you can probably find it cheaper). So an oil change, if you DIY, runs you $16. If you switch to synthetic, the oil costs more. You need to do oil analyses at $25 per analysis, and you might need to buy additives. Assuming you DIY, the savings just isn't there.
The oil life monitor on your truck works pretty well. The 5.3 runs fine on regular oil. Then there's the warranty issue, assuming your 2010 is still under warranty (does the manufacturer say it is ok to lengthen your oil change interval?) The oil change interval on my Suburban (also has the 5.3) per the OLM usually ends up being 5k to 6k miles. I just don't see how switching to synthetic on a Chevy truck makes sense.
BTW - My suburban has 235k miles on the original engine, has always run on dino oil, and the engine runs great.