Yes , it will make it a bit easier, because they have almost the same alphabet with some difference in letters.
Although the strucutre of the sentence is quite different, the vocabulary does have striking similarities as well, which makes it easier to memorize Persian vocabulary.
The pronunication remains quite different. In general learning Persian ,while you speak Arabic will definitely facilitate the process.
Some words and vocabulary are completely different ,where many other words share almost the same letters ,but the root of the words ,the conjugations and the grammar in general will require some effort ,because it is way different.
Good luck ;)