36 leds @ 30ma each wired in parallel is a little over an amp, the 555 won't run that directly. Reaching over into a parts drawer labeled "drivers" beside my desk and blindly grabbing what's on top, I come up with an NDT3055L. This is an N-channel MOSFET that can handle up to 4A at up to 60V, so it can easily handle the power, and I think it must be pretty cheap or I wouldn't have bought so many of them. It also has a low Vgs, so it can easily be turned on by simply connecting the gate directly to the output of the 555, which I happen to remember is pin 3. The "source" of the NDT3055L will be connected to ground, the "drain" will be connected to the cathode (-) side of your led/resistor combination (the anodes would be connected to your positive supply voltage). To bypass the driver and just keep the 36 leds "on" you would wire your switch across (in parallel) with the Source and Drain. It's safe to do it here, but don't try it on the 555 output, it has a "totem pole" drive that will be shorted.
You say you have a schematic of the 555, you know you want astable (blinking) mode, but need some help. What is it you need? Suggestions on assembly? I prefer to use "perf" board, the kind that has the little copper donuts around each pad, which you can get at Radio Shack in various sizes. Bend the wires on the components, poke them through the holes, solder according to the diagram, etc.
Is it the frequency you are confused about? In the spec sheets there's a chart with some diagonal lines, it will have a name like "timing combinations of R and C". Follow the lines along that chart till you find a frequency you like (4Hz makes a nice blink) and it will show you some combinations of the timing resistor and capacitor to get the 555 to run at that speed.