I recently bought a pure fix and would try to see if I can make it a multi speed. I don't believe it has any mounts are anything like that. How would I go about putting gears and what not on it?

I'm starting to get into bikes a lot more, but honestly don't know much at the moment.

Any input in appreciated, thanks.

About the only possible thing you can do at any sort of a reasonable price is to get a new rear wheel with internal gears (also called an IGH short for internal gear hub) and add brakes if you don't have them.

The bike you bought was designed to be a fixie/single speed and really is not compatible with adding derailler gearing. (width of rear wheel, no attachment point for deraillers, etc)

Better to look for a used bike.

good luck

Another vote for an IGH on a bike like that. A simple 3 or 5 speed would offer some variety while keeping things clean and simple aesthetically.
If a derailleur drive train is your preference, I'd say buy a road bike/mountain bike or other "regular" bike that is designed around that drive train.

I say these things on the assumption that the frame you have is equipped with rear-facing "track forks" rather than horizontal, road-style dropouts. Here are some pics to help distinguish:

Classic road dropout on left, track fork on the right.
If the one on the left is what you have, you have options.

Now go measure the dropout spread on the frame.. the width will dictate the IGH hub options you have.

Sturmey Archer 3 speeds are offered with a variety of axle widths..

Shimano has some hubs only made in much wider axle spacings. (like 135 of MTB frames)
[my German Rohloff IGH is like that]