In XE8 there is unit System.Net.HttpClient added. Which is good in my opinion, as it don't use Indy layer and calls directly Windows APIs. So it must be better for both performance and stability.
In general there are classes/interfaces for web Request, Response and HttpClient.
BTW GetIt functionality uses THTTPClient internally.
Here's a minimal example:
client := THTTPClient.Create;
response := client.Get('http://google.com');
if response.StatusCode = 200 then
// do something
Quite easy and simple.
Though there's one defect I found.
if you evaluate response.StatusText it will be OK#0, yeah, that trailing #0 from Windows call.
To get response content you either pass your stream to Get function or use reponse.ContentStream.
POST method is similar.