you need a write callback function. I use this kind of function to read the response, error and be able to supply my own headers:
size_t write_data(void *ptr, size_t size, size_t nmemb, void *stream)
{
    std::string buf = std::string(static_cast<char *>(ptr), size * nmemb);
    std::stringstream *response = static_cast<std::stringstream *>(stream);
    response->write(buf.c_str(), (std::streamsize)buf.size());
    return size * nmemb;
}
bool CurlGet(
    const std::string &url, 
    const std::vector<std::string> &headers, 
    std::stringstream &response, 
    std::string &error)
{
    curl_global_init(CURL_GLOBAL_ALL);
    curl_slist *headerlist = NULL;
    std::vector<std::string>::const_iterator it;
    for (it = headers.begin(); it < headers.end(); it++) {
        headerlist = curl_slist_append(headerlist, it->c_str());
    }   
    CURL *curl = curl_easy_init();
    char ebuf[CURL_ERROR_SIZE];
    curl_easy_setopt(curl, CURLOPT_URL, url.c_str());
    curl_easy_setopt(curl, CURLOPT_NOPROGRESS, 1);
    curl_easy_setopt(curl, CURLOPT_ERRORBUFFER, ebuf);
    curl_easy_setopt(curl, CURLOPT_WRITEFUNCTION, write_data);
    curl_easy_setopt(curl, CURLOPT_WRITEDATA, &response);
    curl_easy_setopt(curl, CURLOPT_HTTPHEADER, headerlist);
    CURLcode res = curl_easy_perform(curl); 
    curl_easy_cleanup(curl);
    curl_slist_free_all(headerlist);
    if (res != CURLE_OK)
        error = ebuf;
    else
        error.clear();
    return res == CURLE_OK; 
}