Chemically speaking, it's a rock. None of the original organic matter is left, it has all been permineralized.
Not a rhetorical question so much as a follow up. I don’t know the answer to your question.
But no, it doesn't last long enough to get DNA samples from dinosaurs. I don't know the area well enough to give a good figure, but 1 million years seems to be an upper bound from what I can find quickly.
[1] https://www.popsci.com/science/article/2013-02/whats-half-li...
If you can retrieve enough segments, you might try some sort of Bayesian inference. You start with the DNA of the common ancestor of reptiles and dinosaurs (and therefore birds). You don’t know what it was, but you know that it evolved into the current reptiles and birds via random mutations followed by adaptive selections. You get a posterior for it, then you use it as a prior for the DNA of the dino for which you have sequenced a number of segments.
[1] https://www.khanacademy.org/science/ap-biology/gene-expressi...
"Scientists took 166 bone samples from 151 mummies, dating from approximately 1400 B.C. to A.D. 400, extracting DNA from 90 individuals and mapping the full genome in three cases." as reported (for instance) on https://edition.cnn.com/2017/06/22/health/ancient-egypt-mumm...