if you want to get that gloss look here is a great way to do it.
Remove the panels from your car and clean them very well. Next, wipe them down with a wax and grease remover. Spray the panels with three to four coats of high-build primer. I use K-36 primer from PPG. When that's dry, sand it down with 800 grit wetsand paper. What this initial step does is it starts to smooth out the texture. The primer gets into the tiny crevasses which make up the texture, and when you sand it you'll see what i mean about how it smoothes out your surface.
Once you're done sanding, clean the panels again and go over them with the wax and grease remover again. Spray them with two or three more coats and let them dry. It helps if you spray a fine mist of black spray paint over the pieces called a "guidecoat" A guidecoat helps you see where you've sanded and where you haven't because you'll sand off the misted drops of black paint. Anywhere you see guidecoat, you still need to sand. For this process, continue to use 800 grit wetsand paper. In this step what you are trying to do is remove the texture completely, yet not sand all the way down to the original panel material although you could always touch it up with a little more primer.
When your panels are smoother than a baby's ass you can prepare to paint them. Spray two or three coats of your color choice on the panels, or enough to get full coverage and even color. When that has cured, spray two coats of clearcoat over the paint. Let that completely harden because if you don't, it'll get messed up.
The next step is up to you. If you feel you sprayed your paint well enough to satisfy yourself which is possible, go ahead and re-install your panels. If you want the ultimate shine that show car quality fiberglass installs have, you should wetsand your clearcoat with a 1500 grit wetsand paper. What you want to do in this step is sand down the clearcoat to eliminate any ripple that you see when light reflects off of the paint surface. Be careful not to sand through the clearcoat and into the paint. Sand in one direction only, and try to go the length of the surface. Once your sanding is complete, use a pneumatic or an electric buffer with a foam pad to begin bringing back your shine. Your buffer should rotate no faster than 1800 RPM or you could burn through your finish. For the first time over, use rubbing compound. For the second time over, use a machine glaze. Make sure to use the correct foam pad with each compound. Hand wipe your panel off with some final inspection glaze and a non-abrasive cloth. Your girl should be able to do her make-up in the reflection cause it's gonna shine nicely.
You should be able to get all the stuff you need at a local autobody supply shop. PPG and Dupont are two great paints that most autobody supply shops should carry. Adding a Flexibilizer to the primer wouldn't hurt at all, in fact I'd recommend it. It helps allow the paint to flex instead of flaking off. When you do your sanding you should use a foam backing pad (part #E-7200). This, your sandpaper, and all your buffering compounds are available from Meguiars. ( www.meguiars.com)
Now that I have carpotunnel in my wrists, hopefully you can get your supplies and make your project look its best. You could easily do all these steps on a saturday and sunday. Do everything from the primer to the clearcoat on a saturday. Let the clearcoat harden over night, and do your sanding and buffering on sunday. No fiberglass needed! Just remember it's all in the prep work (priming and sanding) and in how well you lay the paint. Let me know if you have more questions, or need some advice.