Both Terrorists and Counter-Terrorists get the same number of primary, secondary and tertiary weapons.
Primary weapons are made up of Rifles (both assault and sniper), Shotguns, Sub-Machine Guns and Machine Guns. Secondary weapons are made up of handguns and knives.
While you can only carry one firearm from each category of weapons, you may have a number of different types of grenades(barring restriction by the server) such as High Explosive(HE), Smoke and flashbangs. CTs also have the option of buying a bomb defuse kit(for "de" type maps).
In order to make your familiarity with the different weapons easier, I'll break it down into the obvious categories:
Primary weapons
Secondary weapons
Equipment
New to CS menu
Weapon Recognition