In addition to helping me to become pregnant, what else can I learn from going through IVF?

Going through the laboratory phase of IVF can provide a deeper level of understanding than you can ever achieve from any pre-IVF tests. Metrics you will acquire include egg yield (do my individual follicles yield eggs at the expected 1:1 ratio?), egg maturation rate (do the eggs that are collected match the maturity stage that was predicted by ultrasound?), fertilization rates (do my eggs and sperm come together at the expected rate of 80-85% of the time?), embryo development rates (do 50% of my early stage embryos develop into advanced stage blastocysts?) and euploidy rates (does my cohort of embryos match the predicted rate of euploidy based upon my age?). Any deviations from averages may provide subtle clues that can inform use of your true reproductive potential.