I know Jewish people are granted some special right to visit the state of Israel, and some companies organize free tours for Jewish born or living outside.

But does that apply only for people ethnically Jewish that come from Jewish families? Or also applies to new converts to Judaism?

Like, not literally converting tomorrow and demand a free vacation to Israel, but like, converting and in a few years wait and see if they offer me a free vacation to the country to visit the most iconic places of Judaism?

How does that works?