Unlike the normal cycling ability, typecycling doesn't allow you to draw a card. Rather, it lets you search your library for a card with the type or types indicated by the ability name. For example, a card with basic landcycling lets you search for a basic land card, and a card with Wizardcycling lets you search for a Wizard card.
Typecycling is a form of cycling. Any ability that triggers on a card being cycled also triggers on a card being typecycled. Any ability that stops a cycling ability from being activated also stops a typecycling ability from being activated.