For calculations, I remember seeing some PV=nrt/Charle's law/Boyle's Law/ Avogadro's type problems; that's about as far as calculations went for me..a lot of naming functional groups, naming molecules, and a lot of alcohol --> aldehyde --> carboxylic acid reduction/oxidation questions. (Example: If an aldehyde is reduced/oxidized, what do you get? A: Carboxylic acid/alcohol, respectively). A couple SN1/SN2 reactions, but you really just need to know the basics.
There were more organic chem than gen chem questions. And NO you don't need to memorize the periodic table/atomic masses, etc. (But I would just know the atomic masses of the commonly used elements: C, N, O, just in case, but I doubt you'll need them). Just know the general trends of the periodic table (i.e. atomic mass, radius, electronegativity: does it increase or decrease as you move across/down the table?).