That circuit is intended for a bipolar supply, but you can easily modify it to work with a single 9V battery.
Just connect two 10K resistors in series between the + and - terminals of the battery. The mid-point of the two resistors is your new "ground". So the two opamp inputs that are shown as connected to ground should be connected there instead of to battery - (or wherever they were connected). The actual values of the resistors doesn't really matter so long as they're the same.
The LED should still be connected between one of the opamp outputs and one of the battery terminals, but it should have a resistor (e.g. 1K) in series with it.
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btw, with the values shown, the LED will flash about 40 times per second. To slow it down, you need to increase the value of the capacitor and/or the 100K resistor.