You absolutely cannot go to Peru without visiting Machu Picchu. In fact, most people that go to Peru for vacation make the trip specifically for Machu Picchu.
When I visited I did so on a tour that also took me to a number of other archaeological sites, provided city tours, and took me to Lake Titicaca and its floating islands. For the Machu Picchu portion of the trip I arrived in Cusco the day before, where I did some touring and exploring but then headed to bed early in order to make it to the train station early the morning of my visit to Machu Picchu. The train from Cusco – where you will most likely fly into – to Aguascalientes – the tiny city closest to Machu Picchu takes about 3.5 hours each way, so you’ll want to head out early. When you arrive on the train you’ll then hop on a shuttle bus to take you up a winding maintain roadway to the entrance of Machu Picchu.
The videos I took absolutely do not capture what you’ll see when you visit in person, but it’s worth checking out anyway – just try to imagine the thin air and amazing views.