Entering Saudi Arabia is a complex affair. As there is no such thing as a tourist visa, you have top obtain a visitor's visa, which means you have to be sponsored by a Saudi national. Probably, the simplest way of entering is on an approved organised tour. The visa application has to be made at the Saudi Embassy in the country of your origin.
Once you have arrived in Saudi, restrictions remain on alcohol and Westerners, both male and female, are required to adhere to Saudi's standards of legal morality in dress, demeanor and behavior in public.
Women should NEVER go out without a headcovering and they should wear an abaya as well. This is mandatory in Riyadh, although the coastal towns are more liberal. Do NOT wear crosses, do not talk about religion, do not criticize Islam. Don't even THINK about wearing shorts in public unless you're at the beach.
For better readability of the table, pass into the landscape mode.