I agree that if you could post again with specific questions (or write an online survey) that might be easier, but general thoughts:
Yes babies' and children's clothing is incredibly gendered in cut, pattern, motifs, style, the names of the products (shoes, as mentioned above, with names like Award Blaze or Tri Dash for boys and Softly Lou or Mariel Wish for girls), everything.
Clothing and shoes for girls is prettier and more fussy. There's more embroidery, more fabric and more embellishment, all of which make things 'nicer' which must be kept nice. A kid drawing all over grey tracksuit bottoms vs a kid drawing all over her broiderie anglais dress, for example. Dresses are harder to crawl in, climb in, move in. This is restrictive- it can physically hold girls back. Girls are decorated (headbands which serve no purpose other than to look cute) from babyhood.
I have children of both sex. When my sons were babies I specifically chose clothing that was bright, colourful and could be used for a girl (financial requirement of hand me downs). This was quite tricky at times, and I despair at the sludge colours and camo prints aimed at boys. Scandi brands were great, as their clothing features bright cheerful, loud prints children love in unisex cuts- no capped sleeves for girls or fitted t shirt shapes. It's pricey though.
It's bad news for boys too- their options channel them towards dinosaurs, pirates, space and monsters. One of my sons loved ponies, rainbows and unicorns. But because 'girls stuff' and anything feminine is seen as weak and pejorative (versus the 'tomboy' which is often viewed affectionately), boys can come under serious flak for liking it. It takes guts to choose pink crocs and a unicorn water bottle for school, and some children will be steered well away from that sort of thing altogether.
It's frustrating, but I think gender is becoming more talked about and certainly there's greater availability of bright, colourful gender neutral baby clothes. Boden (really terrible for gender stereotyping in my view) featured some dinosaur prints on their girl's clothes recently and a few space themed items as well. Still no unicorns, rainbows or cute animals on the boys' clothes though...