Finding a topology for a vector space $X$, such that $X$ is a topologic vector space and the topologic and algebraic dual spaces are the same

Question

Given is a vector space $X \neq \{0\}$. I should find a topology such that $X$ is a topologic vector space and the topologic $X'$ and algebraic $X^*$ dual spaces are the same.

My idea is to use the inital topology on $X$ with respect to $X^*$. Can I now say, that all linear functions are continous as well and therefore $X^* = X'$?

If my idea is not correct, can someone give me idea how to solve this problem?