I have the following code, and I would like to add some HTTP header info along with the call. Anyway that I can do that?
void NeoAPI::call(QString apiCall)
Yes, see the documentation of QNetworkRequest.
You'll want to do something like:
QNetworkRequest request(url);
request.setHeader( QNetworkRequest::ContentTypeHeader, "some/type" );
request.setRawHeader("Last-Modified", "Sun, 06 Nov 1994 08:49:37 GMT");
manager->get( header );
Also, if I wasn't using these inside a class, what would the this in the connect(manager, SIGNAL(finished(QNetworkReply*)), this, SLOT(netReplyFinished(QNetworkReply*))); be?
It wouldn't be anything. To connect a signal to a slot, that slot must be a member function of some object. The Qt primer on signals and slots explains this.