## A question about line bundle

Let $M$ be a compact complex projective manifold, i.e., we can embedded $M$ into $\mathbb{P} ^N$ for some $N$.

Assume $L$ be a line bundle on $\mathbb{P} ^N$, and $\pi^{-1}(L)$ be corresponding line bundle on $M$. Now, we have if  $s$ is a holomorphic section on $L$, it is also a holomorphic section on $\pi^{-1}(L)$. How about a holomorphic section on $\pi^{-1}(L)$? Can we say anything on $L$?