I was fortunate to work 32 years for a University research lab that had a 403b with employer matching. Decades ago a 403b had more favorable tax treatment, but today it's not much different that other defined contribution retirement plans. The one major difference is that you can retire at age 55 without a tax penalty.
With any retirement plan you need to fully understand the investment choices (usually there are several), when the calender dates are for changing your choices, and when it is vested. Some plans require you to work for a number of years before the employers contribution is yours. It's hard work to make good investment choices, especially when you have no interest in the technical details of judging choices. By far the largest 403b investment company is TIAA-CREF. http://www.tiaa-cref.org/
I'd suggest reading their educational materials even if it is not one of the investment choices available to you.
There is a non-profit educational association. http://www.aaii.com/
AAII seeks to educate members on investment approaches. I'd get their free literature and then consider joining. Be sure to understand the benefit of the long term view and regular portfolio re-balancing. Above all take advantage of the matching money to the fullest. Be wary of the for profit investment adviser and the market timing method of trying to predict the market and getting in and out of the market. AAII has make-believe educational portfolios that you can test your knowledge on. Until you have more knowledge I suggest you make your investment choice a conservative one, one with a guaranteed return. It todays market it will be a low return. Good Luck.