Learn Dutch: Je kunt gebruik maken van de plek. - You can make use of the spot.

Both je kunt and je kan mean "you can" and are correct! Je kunt is considered slightly more formal and is the traditional written standard, while je kan is very common in everyday speech. Just remember that if you flip the order to ask a question, it always becomes kun je.

Why is maken pushed to the very end of the sentence?

This happens because of the modal verb kunt (can). In Dutch, when you use a modal verb, it takes the normal verb spot, and the main action verb (maken in this case) gets pushed all the way to the end in its full dictionary form (the infinitive).

Is gebruik a verb in this sentence?

No, gebruik is a noun here, meaning "use". The actual verb is maken (to make). Together with the preposition van, they form the fixed expression gebruik maken van, which is built exactly like the English phrase "to make use of".

Could I use de plaats instead of de plek here?

Yes, de plaats and de plek both mean "the place" or "the spot" and are often interchangeable. Plek is slightly more informal and is extremely common in everyday spoken Dutch when referring to a specific physical spot.