When my daughter was baptized I received a silver frame engraved with her name, birthdate and baptism date with a picture of her at the time of the baptism.
You are not obliged to give him/her a gift. However, it
would be very sweet of you to bring a present. I am sure both the parent and
the child will really appreciate it. You can get him/her clothes or toys. You
can also look for original items such as personalised t-shirts or water