No, they are not the same. Form 1099's report various types of income. A 1095-C is a form about health coverage. It reports to the IRS the type of health coverage a person had, dependents
covered by their insurance, and how many months one had coverage for in
2016.
You can a see what one looks like here:
1095-C: Employer-Provided Health Insurance Offer and Coverage
https://www.irs.gov/pub/irs-pdf/f1095c.pdf
If you receive one, keep it for your records. TurboTax will ask you questions about your healthcare coverage situation as you go through the healthcare interview.
Please see this FAQ and video:
FAQ: What's a Form 1095-C?
https://ttlc.intuit.com/replies/4829606