There are a couple of ways to introduce food to your baby. One is to use purées which you increase in texture as they get used to it. The other is baby led weaning.
If you choose baby led weaning when offering veg sticks such as carrots be prepared to par boil them so they are a bit softer. Also make sure they are cut to a size where choking risk is reduced.
Most importantly watch your baby at all times and educate yourself on how to manage choking.