C# - Get Log From Process.Start?

I'm going to precompile an asp.net application in my custom c# form. How do i retrieve the process logs and check whether it is a successful process or not?

Here's my code

string msPath = "c:\WINDOWS\Microsoft.NET\Framework\v2.0.50727\";
string msCompiler = "aspnet_compiler.exe";
string fullCompilerPath = Path.Combine(msPath, msCompiler);
msPath.ThrowIfDirectoryMissing();
fullCompilerPath.ThrowIfFileIsMissing();
ProcessStartInfo process = new ProcessStartInfo
{
CreateNoWindow = false,
UseShellExecute = false,
WorkingDirectory = msPath,
FileName = msCompiler,
Arguments = "-p {0} -v / {1}"
.StrFormat(
CurrentSetting.CodeSource,
CurrentSetting.CompileTarget)
};
Process.Start(process);