$ub$onic is right, you're talking THOUSANDS of dollars sunk into custom parts. Off the top of my head: a new crank, built to handle almost times the power output of stock, custom cranks run about a grand. Next you need custom rods, you want power you need strong and light rods, H beam forged rods will probably be about 800, again custom. Next you have pistons, hyperwutectic won't work if you're running good boost numbers, so you'll need fully forged pistons, again custom because no one is in the market for 1.8 internals yet, should be another 1,000. Add bearings, races, and things like wrist pins and piston rings for another 500. Next comes the engine head. No way factory is going to flow well enough to make good power numbers, so let's say you take the cheap way and just have the stock head worked over by a machinist for better flow, larger valves, and a fire ring for all the boost. Most machinists charge about $100 pe hour, and you're looking at about 12 hours of work because this isn't just another small block chevy that he's done a thousand times before, this is brand new; another $1,200. Well that fancy new head needs good valve springs to make sure that you don't float a valve and kill your engine, those will be another 400, then you need custom sodium filled valves, probably another $400, and now on to a custom ground cam for boost spec, add another $500, not to mention a timing set that will handle the power, custom of course because no one makes one for that engine because there is no demand for it, so we'll say that's another $300. Now on to the intake manifold, throttle body, fuel injectors: call that an even 1,000 if you're going with off the shelf parts that have been ported out.
Now you're at OVER $7,000 and you still need all parts for the turbo, all the custom computer work, a custom transmission, clutch, axleshafts, etc that can handle the power. You mention that you aren't too familiar with cars? Awesome! Now you get to pay someone at a performance shop $100+ per hour to do all this labor for you, which conservatively is 50 hours, so we'll just tack on 5 grand for that.
Do you see where I'm going with this? This is an econobox, want to do some simple bolt-ons to make some noise and have a little fun on your commute? Fine, sure, go ahead, there's nothing wrong with that. If you want to make actual power, trade this thing in on something more condusive to that end.