It really depends on what kind of data you have. If the survey was done with GPS and you have a datalogger, you can integrate the GPS points into a new CAD drawing (I'm assuming you have AutoCAD) and use them as references to complete the drawing.
If you're working from traverse data or a field book, then if you're in AutoCAD and have the Survey module it can be relatively straightforward. If you start by defining a benchmark point (some kind of 3D control) you can use the survey tools to run lines in the drawing just like they were surveyed, such as by bearing and distance, azimuth and distance, etc. This lets you cut down on doing coordinate geometry and the like.
If you're working in a basic CAD package that doesn't have surveying tools, then you might have to digest the field notes/survey data into some kind of form that YOU are able to work with them. You should start by drawing in things that have fixed, known locations (baselines, property lines, section corners, property corners, benchmarks, etc.) and fill in the missing information based on the survey data you have. It's kind of like a jigsaw puzzle in that sense -- the "fixed" things are like your outside pieces and it's easier to fill in the inside pieces once they are in place.
If you need more help or advice or anything don't hesitate to contact me.