Dear oh Lordie the OP is getting a bit of a battering!
Both names are lovely, and perfectly normal. I am a name etymologist, and Gigi, Lola and Lila are fairly standard names that aren't going to stand out in anyway in the future. In fact, I would say Lola has peaked and may end up being fairly dated. Lila (and its various spellings) is everywhere right now and, looking at the upward trend it is experiencing in the UK and the fact it is hitting the top 100 names in several European countries, Gigi is about to be big.
Naming trends have changed hugely in the last 30 years or so. There is more variation now, literally hundreds more names being given. The number one girls name in 1996 was Sophie with 7087 girls being named that (10.54% of all baby girls named that year). In 2024 the number one girls name was Olivia with 2761 babies named that, 0.95% of all baby girls. The equivalent in 1996 was Jade with 2750 entries, at number 19. In 1996 the top 5 names made up 10.54% of all baby girls born, in 2024 it was 3.94%.
Having a solicitor called Gigi Anderson or a surgeon called Gigi Thompson isn't going to be unusual in 30 years. In my daughter's school there are girls called Purdie, Piper, Bluebell, Flossie, Star, Winnie, Miley, Sullivan and Kiki - all of them their full, registered names. And this is an oversubscribed primary in a leafy middleclass village not far from York.
@Fritesky - if you love them then use them for your beautiful daughters and know that you are just a few years ahead of the curve with Gigi! Will they love their names? No idea! But, as you said, Olivia, Isla, Ava and Freya may not like their names either!