In article , John Navas
wrote:

Does a new lithium ion battery need a few charge and discharge cycles
to be able to hold and delivery its full capacity?

Yes.

no.

http://www.batteryuniversity.com/partone-12.htm

Lithium-ion is a very clean system and does not need priming as
nickel-based batteries do. The 1st charge is no different to the 5th
or the 50th charge. Stickers instructing to charge the battery for 8
hours or more for the first time may be a leftover from the nickel
battery days.
....

Preparing new lithium-ion for use

Unlike nickel and lead-based batteries, a new lithium-ion pack does
not need cycling through charging and discharging. Priming will make
little difference because the maximum capacity of lithium-ion is
available right from the beginning. Neither does a full discharge
improve the capacity of a faded pack. However, a full
discharge/charge will reset the digital circuit of a 'smart' battery
to improve the state-of-charge estimation.