You probably know this because I think you're on the Corvette Forum too, but you get 4 free oil changes in the first two years. Some time this summer GM relented on their "oil life monitor at 20% or lower" policy and you can go in whenever. I would still get confirmation from the service department.
Speaking of oil changes:
I did the first one myself at 1600 miles (during the aforementioned "20% or less" time), but since they changed the policy and I'm going to store it this weekend I decided to go into the dealer and have it changed. I went to a Chevy dealer that had at least two 2014 C7's on the lot so I know they have a trained tech (who I also know is probably not doing oil changes).
I was in a hurry to get going so I signed the paperwork, gave the car a once over and headed back to work when they were done. When I got home tonight, as I was filing my service records, I noticed a "7" next to the oil on the itemized receipt.
I had just got home so I went out and checked the oil - barely on the dipstick. I had oil pressure on the drive home and only put about 25 miles on it so I'm not too worried.
I have a Z51, which as an oil capacity of 9.8 quarts. The base model holds 7, so that's what they put in.
Now it's probably partially my fault for not noticing that at the dealer but should I really be expected to know my car better than they do? That's the service department's job and that's why they exist - for people who don't know their cars well enough to do their own service. They entered the VIN so it should have been in there.
They were closed by the time I got home so I'm going to call them in the morning. Needless to say I will not be following the instructions of the service writer and filling out "excellent only" on the survey when I get it. I guess I will find a different Chevy dealer for service too.