You are at risk for having stipulations against your license at ANY point in your career, not just during your new grad period.
Do you have malpractice insurance
? If not, I highly suggest getting it. That was one of the first things I did as soon as I knew I had a job. There are different companies, but the two most popular on here are NSO and Marsh (Proliability). Both offer first-year discounts to new grads.
I paid about $100 for the entire year. The amount you pay depends on what specialty you work in. Nurses working in high-risk specialties such as L&D will be expected to pay more. I would rather pay that $100 for the year instead of thousands in case my name pops up in a lawsuit.
There are a lot of threads regarding malpractice insurance on this forum. I suggest you don't practice without it, though. You may be covered under your employer, but they are always out for their best interest and will throw you under the bus at any time to make the facility look good. And what if you are working elsewhere but are (hypothetically speaking) named in a suit? That former employer isn't going to cover you. I had a nursing instructor named in a suit in something that happened 20 years ago. Believe it or not, it can happen.