You can power the Tinylily by soldering two wires, one to the positive solder pad and the other wire to the negative solder pad. Then you can connect these wires to a battery or a power supply.
The Tinylily has two spots where you can find the power solder pads. You only need to hook up one set of negative and positive solder pads. The extra power solder pads can be used for connecting power to more devices.