[noun (person)] + が + [noun] + を + くれる [noun (person)] + が + (私に) + [noun] + を + くれる [verb て-form] + くれる
くれる means "give", but only toward you: someone else gives something to you or to someone on your side – your family, your friends. The giver takes が (or は), the thing given takes を, and the receiver, if you name them, takes に. When the receiver is you, わたくし私に is usually left out.
After a verb in the て-form, くれる says that someone did that for your benefit, and you're grateful for it.
Without くれた, あね姉がしゅくだい宿題をてつだった手伝った only reports what happened. Leaving くれる off a favour done for you can sound ungrateful.
These go beyond the plain verb.
When the giver is above you – a teacher, a customer – くれる becomes the honorific くださる. Its polite form is くださいます, and ください in requests comes from it.
As a question, くれる? and くれない? ask a favour: てつだって手伝ってくれないきごう?, "could you help me?". That use has its own grammar point.