Are both the same?
"when I conceived my first child" and "when I got pregnant with my first child"

Question

Are both the same?
"when I conceived my first child"    and    "when I got pregnant with my first child"

Answer

Yes.

To become pregnant with (offspring): She conceived her first child in London, but her second child was conceived in Paris.

http://www.thefreedictionary.com/conceive

Answer

yes they mean the same thing - got pregnant, is a less elegant, but more common way of saying 'when I conceived".

Answer

Yep exactly the same. Conceive is more formal, though