1) I am buying her a good ring.
2) I am meeting her at the airport at ten.
In the present continuous, we add -ing onto the end of the infinitive (like the words in the brackets). So “meet” becomes “meeting”. In front of the verb we put “am” or “is” or “are”, depending on the subject. Here are some examples.
We are going to the beach.
I am reading this book.
She is painting a tree.
