Simultaneously Write to and Read from the same file

My program generates a log file for every event that happens in the program.
So, I open the file and keep it open till the end. This is how I open the
file for writing:

<CODE>
public CLogHandler()
{
this.m_fsLog = new FileStream(strT odaysLogFile, System.IO.FileM ode.Append,
System.IO.FileA ccess.Write, System.IO.FileS hare.Read);
this.m_swLog = new StreamWriter(th is.m_fsLog);
if(this.m_swLog != null) this.m_swLog.Au toFlush = true;
}

pubic WriteLogMessage ()
{
if(this.m_swLog != null) this.m_swLog.Wr ite("[" +
DateTime.Now.To String("HH:mm:s s") + "] " + aMsg + Environment.New Line);
}
</CODE>

One of the requirements is to display the current log file contents in a
child form. So, I open the log file for reading like this :

<CODE>
System.IO.FileS tream fs = new FileStream(this .m_strCurrentFi leName,
System.IO.FileM ode.Open, System.IO.FileA ccess.Read, System.IO.FileS hare.Read);
System.IO.Strea mReader sr = new StreamReader(fs );

while(sr.Peek() > -1) this.DisplayLog Text(sr.ReadLin e() +
Environment.New Line);

fs.Close();
</CODE>

As you see, when I open the file for writing, I'm granting FileShare.Read,
which means other processes can open the file for reading. But when I try to
open the file for reading, it gives IOException that the file is being used
by another process.

So, how can we write and read to and from a file simultaneously in the same
program (ofcourse, without stopping the write process)??