You should use a stream when reading the file. Since you've mentioned sending to a server, you should stream that file to the server.
As others have mentioned, you should consider your data size (1GB seems excessive). I haven't tested this, but the basic approach in code would look something like:
// open a stream to the file
FileInputStream fileInputStream = new FileInputStream(filePath);
// open a stream to the server
HttpURLConnection connection = new URL(url).openConnection();
DataOutputStream outputStream = new DataOutputStream(connection.getOutputStream());
byte[] buffer = new byte[BUFFER_SIZE]; // pick some buffer size
int bytesRead = 0;
// continually read from the file into the buffer and immediately write that to output stream
while ((bytesRead = fileInputStream.read(buffer)) != -1) {
outputStream.write(buffer);
}
Hope that is clear enough for you to fit to your needs.