Assuming you are talking about the '04 LB7, if so then no the cts will not read accurately. The LB7's stock sensor will only read up to 22 psi, cts reads off the stock sensor. You'd either have to add the exspandable boost sensor for the cts or go with a mechanical gauge.
It will not read accurately, but the LB7 sensor can read higher than 22. I have seen 24-25 out of mine several times on logs. The ECM doesn't really work over 37 absolute(22 pounds of boost at sea level of 14.7 PSI is right at 37 absolute), but will go higher on logs.