What is the output type of the sn74lvc1g04?
It's push-pull output (as would be expected, unless otherwise stated). You can see how push-pull it is from the datasheet: 



At 4.5V supply it can sink or source up to 32mA and (Table 7.5) the maximum/minimum voltages under those conditions will be 0.55V/3.8V. So, it's a little better at sinking current than at sourcing it (&lt;550mV drop sinking 32mA and &lt;700mV drop sourcing 32mA).

Adding a resistor will do nothing under normal operating conditions (chip is powered) but waste power when the output is low.