This is for the men. There are so many resources for learning mishnayos and gemara that you can have in your fingertips every day in order to get closer to HaKadosh Baruch Hu. Here are some of them.
Mishnayos:
http://dailymishnah.com/
http://mishnadaily.com/
http://www.shemayisrael.com/mishna/
http://613.org/mishnah.html Rabbi Meir Pogrow
Gemara:
http://www.dailygemara.com/ Rabbi Eli Mansour
http://www.daf-yomi.org/
http://www.dafyomi.org/
http://e-daf.com/
http://www.dafyomi.co.il/
There are no more excuses to not learn Torah She'Ba'al Peh. Everything is accessible.
Of course, there is no reward for a non-Jew learning the Oral Torah, in fact, he will be punished for doing so. But it is incumbent upon all Jewish males to do it.