The te-form is the one Japanese verb conjugation you cannot skip. It does not carry a tense or a fixed meaning by itself. Instead it is a connector: attach it to another verb or ending and it builds requests, permission, prohibition, ongoing states, and sequences of actions.
食べる (taberu, to eat) becomes
食べて (tabete). On its own that fragment does not mean much
in English. Attach
ください and it becomes a request:
食べてください (please eat). Attach
います and it becomes an ongoing action:
食べています (is eating). Same conjugation, completely
different grammar depending on what follows it.
This guide covers how to build the te-form for all three verb groups, then the most common things you attach it to. For the underlying verb groups themselves, see the full guide to godan, ichidan, and irregular verbs.