That is a very simple circuit built around an LM741 amplifier 8-pin chip. The small number of discrete components added to the chip via wiring makes the following addition to Goober's suggestion perhaps helpful:
Take 2 to 4 pieces of simple cardboard from the standard cardboard box (which we throw out in great numbers in the USA). Each piece should be at least 12 inches on a side. Use some Elmer's glue or double-sided tape and put them together to make a thick piece of cardboard. That's your "breadboard", which you called a "perf" board. Since it's cardboard, you can make holes in it VERY easily. If you really screw up ... it's just cardboard, and you can make another breadboard easily. Note well that it's still flammable; for the circuit power, it's generally not an issue, but you should not use such a breadboard for any circuit using anything more powerful, like that using power leads from a wall outlet (120v or 240v, depending on your country's standard).
Go get an 8-pin socket from Radio Shack or wherever. Now you solder the 5 wires (using generous lengths -- at least 24 inches each) that the diagram shows onto the 8-pin socket. You need to get SOME soldering skill, so have a friend show you how to do this. Watch him or her solder a couple of the socket's leads, then do the remaining yourself.
Plug the LM741 into the socket, and then punch 5 holes into the cardboard, and then thread the wires through.
Pull the wires until the socketed LM741 snugs up to the cardboard. Don't overdo it ... just a gentle snugging. Now, draw the circuit diagram onto that back of the cardboard with marker. If you make a mistake, don't worry ... just scribble it out and draw the correct lines. Now you can see why having such a large piece of cardboard is handy.
Space the components out roughly like the diagram does. For example, the input jack location should be as far as possible from the output jack.
Then wire up those components similarly; soldered to wire, wired through the cardboard, snugged. You will see that it makes sense to start joining existing wires from the back of the cardboard to the added components, so you'll fiddle with getting that done. But if not, you can just join wires together by twisting them, even soldering them together. Your soldering friend can show you how.
At the end of the project, you'll have this piece of cardboard with components flopping slightly on one side, and on the other side, a wiring diagram with all kinds of wires flopping around. Your soldering friend should have wrapped electrical tape around any exposed metal from the wires.
Having too much wire running everywhere might be a natural result for the amateur ... but don't worry, since you can always snip them down in length and then re-twist or re-solder them together. And shorter wire runs mean less chance for electrical interference, which is fairly important in audio circuits.
Note in the diagram you have 3 places with downward-pointing triangles. Those represent grounding. For the purposes of your home-made circuit, they can all be wired together.