At some point in time "the other people" are going to end up being different versions of Future You :-P . So if you take the "other people" argument, then it's definitely worth learning just for that reason. OO is pretty handy for the You Of Today too though.
The basic low down is that this is all about encapsulation (tidying things away in boxes).
You hopefully already know a bit about that.
Say you just have all globals through all your files, you probably know you end up with a big mess of spaghetti.
To help with that, you've probably already learned about tidying away code and variables into functions. And you might know that if you have a local variable, it is only visible inside the scope of your function. If you're doing it right, then nothing outside your function will ever directly touch the local variables inside the function, or vice versa.
This makes it really really easy to reason about what happens inside the function, since -with the exception of your parameters and your return- what happens in vegas... uhh... your function, stays in your function. And the inputs and outputs to the function are well defined.
This saves hours and hours of hunting out every last spot that some global was used, just in case it is interfering with something 1000 lines away. If you've done a lot of programming, you've probably been there a hundred times, cursing the laziness of Past You as you went.
Maybe you also separate your program out into different files. Model.php, View.php, Controller.php DoImportantThing.php ... maybe something like that?
So you probably already realize that tidying things away in boxes is a good idea. Everything you can tidy or organize away inside some box is something you don't need to worry about elsewhere at least. Out of sight is out of mind.
Wouldn't it be great if there were more ways to help you tidy things away into boxes? Well, we're in luck. PHP has classes and objects. These are a further way to organize functions and data together into a next-size box.
The idea is to tightly control what gets in and what gets out of these boxes again. And if you do, that's an additional level of things you don't need to worry about constantly. This frees up that part of your mind for other things.
Of course if you're a PHP programmer you don't NEED to use classes and objects. You don't NEED to use anything. But they're a very powerful tool to help you keep your code squared away. And since they're built right in to the language already, right at hand, why wouldn't you use them?
Classes and objects make most non-trivial projects easier and quicker to write (especially if you can reuse old classes, which you often can!) , and they make medium to large projects rather more manageable and tractable.
If you poke me, I could find some time to show you how you can make classes and objects work for you?
[disclaimer: Classes and Objects are definitely not the first/last/only/best/worst tools to organize code. Different languages have different tools sometimes. PHP just happens to provide Classes and Objects, so that's what you've got to work with there.]