Reading data from Azure Storage Blob into a string

The code below I used to read the text from the file located on Azure blob into a string:

string filename ="mytargetfile.txt"
string blobConn = CloudConfigurationManager.GetSetting("BlobConn");
CloudStorageAccount storageAcct = CloudStorageAccount.Parse(blobConn);
CloudBlobClient blobClient = storageAcct.CreateCloudBlobClient();
CloudBlobContainer blobContainer = blobClient.GetContainerReference("container1");
if (blobContainer.Exists(null, null))
{
    CloudBlockBlob blockBlob = blobContainer.GetBlockBlobReference(filename);
    if (blockBlob.Exists(null, null))
    {
         //read data from the blob into a stream and get it into an array
         using (var ms = new MemoryStream())
        {
             blockBlob.DownloadToStream(ms);
             ms.Position = 0;
             using (var reader = new StreamReader(ms, Encoding.Unicode))
             {
                   var fileText = reader.ReadToEnd();
             }
        }
    }
}