The property can be bought (or auctioned) if it's unowned, and rent is owed to its owner otherwise.
The card in your example doesn't exist as a Community Chest card. There is such a Chance card. It's exact text is
Advance token to the nearest Railroad and pay owner twice the rental to which he/she is otherwise entitled.
If Railroad is unowned, you may buy it from the Bank.
So, for that card, not only do you have to pay the fee, it's twice what it normally is!
Now, there are a number of other Chance cards that don't explicitly state that rent is entitled.
Advance to Illinois Ave
If you pass Go, collect $200
But as you may have noted, the first card quoted above said the rental fee was twice that "otherwise entitled". That means the owner of the space to which the Chance card moves you is normally entitled to rent.
Landing on a space because of a Chance card moved you there is no different than landing on a space as a result of rolling the dice. Rent is owed if the property is owned, or the property can be bought (or auctioned) if it's not.