There was a woman in front of me driving and was accessing a service road. She yielded and began to go and as I came up to yield,
I check to see if I’m clear, and as I do she stops and I run into the back of her car.
I have full coverage on my car that I just got not even a month ago because I just totaled my previous car. Is that going to be covered or is there something im going to have to pay (like a deductible or something)?
You are most likely at fault. You will have to pay a deductible for your repairs. No deductible for the vehicle you hit.
This will not doubt increase your insurance. Try to get a quote before it is too late!