Translation:She is an actress and he is an actor.
We usually use words ending in -are about females too, but skådespelerska is one of the words that is still sometimes used in the female form to differentiate. An interesting word is sjuksköterska ('nurse') which is used for both male and female nurses. The word sjukskötare is not used in Sweden, but it is used in Finland instead of sjuksköterska, also regardless of gender. [this sentence has been edited]
Usually though, if there is a word ending in -are, one should use that word about both female and male professionals.
There's no official title like that in Sweden, but in Finland it is the word for sjuksköterska. In mental health care in Sweden, there is a title skötare that is used for both men and women. It's important to use the right terms here because sjuksköterska has a special college/university degree.
I have edited my previous post.
It's OK to say "skådespelare" for any actor, although "skådespelerska" is used too. Nobody has the power or ability to abolish words, but in some professions and titles there have been an aspiration to not use -man and instead go for -person, as in "talesperson" (spokesperson) for example. In a few other professions, like brandman and sjuksköterska, the gendered word is frozen and applies to all professionals regardless of what gender identity they have.
There's this: Swedish Gender-Neutral Pronoun, 'Hen,' Added To Country's National Encyclopedia http://www.huffingtonpost.com/entry/swedish-gender-neutral-pronoun-hen-national-encyclopedia_n_3063293.html
It doesn't mean your dumb but yes Alec is right - you absolutely need to use the definite article here. If we (in Australia, or England or America etc.) heard someone say "I am actor, she is actress" or something similar, we would know instantly that English was their second language.