How to make a request to a website with TcpClient

I am trying to make a request to a website with a TcpClient, but I can't get it to work. First I make a connection with the remoteHost and write the request headers that are in the requestStr-variable. After that I am reading from the remote stream and expecting to get a response, but I don't get anything. I use the code from the while loop also for receiving request headers from a browser that uses my app as a proxy and that works fine.

The Eol variable is \r\n.

The requestStr variable is:

GET http://steam.com/ HTTP/1.1
Host: steam.com
User-Agent: Mozilla/5.0 (Windows NT 10.0; WOW64; rv:44.0) Gecko/20100101 Firefox/44.0
Accept: text/html,application/xhtml+xml,application/xml;q=0.9,*/*;q=0.8
Accept-Language: nl,en-US;q=0.7,en;q=0.3
Accept-Encoding: gzip, deflate
Connection: keep-alive

The code snippit:

TcpClient remoteClient = new TcpClient(request.GetRemoteHost(), 80);
byte[] remoteRequest = Encoding.UTF8.GetBytes(requestStr);
NetworkStream remoteStream = remoteClient.GetStream();
remoteStream.Write(remoteRequest, 0, remoteRequest.Length);
remoteStream.Flush();

int j;
string remoteStr = "";
byte[] remoteBuffer = new byte[App.BufferSize];
recvRequest = true;
while (recvRequest && (j = remoteStream.Read(remoteBuffer, 0, remoteBuffer.Length)) != 0) {
    string receivedData = Encoding.ASCII.GetString(remoteBuffer, 0, j);

    if (receivedData.IndexOf(Eol) < 0) {
        remoteStr += receivedData;
    } else {
        remoteStr += receivedData.Substring(0, receivedData.IndexOf(Eol + Eol));
        recvRequest = false;
    }
}

MessageBox.Show(remoteStr);