The Restaurant at the End of the Universe

Milliways, better known as The Restaurant at the End of the Universe is a dining establishment that has been said to be the best thing since sliced bread, and in fact even serves sliced bread at your request.

It involves both:

Seeing one Edge of the Universe, and Seeing the End of the Universe

The name Milliways apparently refers to either:

The million ways the Universe could end, or

The thousandth of a way the Universe could end.

Its sister project is the Restaurant at the Beginning of the Universe, called Manyways.

Conventional methods
Reaching the spatial End of the Universe is rather simple. The restaurant is built on the former location of the planet Magrathea (which was built on the future location of Frogstar World B), and one can reach it using any variety of spacecraft available, including those that use Infinite Improbability Drive, Bistromathics, or Hyperspace. Actual travel time may vary, depending on the space, time, and dimension of origin.

Alternate method
You just, well, wait for about 42 billion years. The Big Crunch will be imminent by then, and the size of the Universe will have been greatly reduced, making it easier to reach the spatial End of the Universe.

This, of course, is what is mainly done by many immortals.

However, since many people are mortals, they just utilize time travel and high speed spacecraft.