How to flash LEDs with a microcontroller?
Since you've not accepted an answer I'll chuck in my suggestions.

Most of the complexity here will be in the software and given your background you should have no issues there.

From the hardware point of view I recommend testing with one LED first with a resistor in series to the UNO pin that it is connected to. The LEDs you link to don't state a current draw, if you can't find this out I would suggest setting your resistor to 2.2K ohms (don't ask why, I just always start there). If it is too dim then reduce the resistance until you find a brightness you are happy with.

Get your hands on a volt meter and measure the voltage drop across the resistor - it should be about about 1.4 V less than your supply voltage but it is always worth checking. (see Martin's answer for more detail on this bit)

Divide this voltage by the resistance you choose and now you know the current that one LED needs to reach the brightness you want. Make sure that this number is less than the maximum output current that the UNO can supply. If it isn't then you'll need to either increase your resistance or use the UNO to drive a MOSFET to switch the LED on and off - to be honest if it is too much then the UNO may well have died by this point or at least be getting hot.

If you wan to drive more than one LED from the pin then you will need to decrease your resistance to make sure there is enough current flowing through the LEDs to make sure that the LEDs are at the brightness you want. Again, be careful not to draw more than the UNO can supply - it's basically going to be a multiple of the current you worked out for the single LED.

If it does increase above the maximum current output of the UNO then you could either spread the LEDs across more output pins or use a MOSFET to drive the LEDs.

Other than that you shouldn't have too many problems.