"I read a newspaper."
Translation:אני קורא עיתון.
ee-ton. This link might be more helpful: http://forvo.com/search/%D7%A2%D7%99%D7%AA%D7%95%D7%9F/
"I read/I am reading" for males is "אני קורא". "I read/I am reading" for females is "אני קוראת". Google Translate says "קוראתי" means "I read", but I don't know that word. I didn't notice that you had used that spelling when I wrote my first reply to you. Perhaps someone who knows more Hebrew than I do can answer that for you.
There is no "ט" tet "t" in this sentence. There is an "ע" ayin, however, which most modern Hebrew speakers treat as a silent letter. In modern Hebrew, there is no difference in the pronunciation of "ט" tet and "ת" tav, by the way. Both are pronounced "t" by most people in Israel.