Getting apps for iPhone

I wanted a timer, a simple timer, for my iPhone 3G, and so I went looking, and found a couple of them, went to the web pages, and viewed them in iTunes, but after spending a good deal of time in both I could not find any way to actually GET the app.

I found this:
http://itunes.apple.com/us/app/alarm-clock-4-free/id406141511?mt=8

This particular timer was massively overloaded with features and did far more than I wanted it to, or would ever need it to, but it was free, so I decided to try and get it. But after looking at the page for a long time and clicking all possible links in it, I still could not find any possible way to get it and install it on my phone.

I'm afraid I just don't understand the process of getting an app and putting it on my phone, and apparently there is some simple thing that has flown right over my head here. I should mention I am very new to iPhones, and have only had mine for a week or so.

In both the web page and in iTunes I could find out all about the app, read the numerous reviews of it, and get every imaginable bit of information about it, but I could not actually GET THE APP.

Perhaps I'm a bit behind the curve here, but that all seems rather self-defeating.

Can someone please clue me in?

 

As it happens I do have an iTunes account, and there was no way on either the web page or in iTunes to actually GET the app. I'm still stumped here. Can it really be this hard? Also, it's a *free* app, so I don't need to buy it, I should rather think I just need to download it and install it on my phone, but apparently that's not so simple a matter.