These experiences are normal in the sense that they occur to almost everyone in the course of a lifetime. Nevertheless bereavement causes disabling psychological symptoms, like the ones you’re experiencing now, and (but this is not true in your case), occasionally, precipitates or complicates almost all life cycle coping difficulties and pre-existing and/or subclinical mental diseases.
You’re not mentally ill, but a bereavement is certainly a very distressing and disruptive experience, especially frightening to anyone who is going through it for the first time.
The shock, the numbness and the disbelief you are probably feeling just now are normal. Also normal are your symptoms of anxiety, your crying, your anger. It would also be normal to feel some guilt or to sometimes have hallucinations, like a sense of presence of your boyfriend.