How do I parse a sentence with two verbs?
There are things called infinitives, gerunds, and participles - these use the same words as verbs, but have the function of nouns or modifiers. The category for these are verbals.
There's many words in English that can work outside of the function they are "supposed" to be (and many that can't). A lot of nouns can be "hacked" into working as verbs, and verbals are a "sanctioned" way for verbs to work other parts of speech.
I know that we usually break sentences down into subject, verb, object.
Objects are nouns - so verbals that work as nouns can appear where an object is expected.
I want to give a present.
To give is the object of want (What does "I" want? To give.)
Verbals are not functioning as verbs, but they can still take objects themselves like verbs. What they can't take are subjects.
So a present is an object of to give.