My boyfriend opens doors for me...?

So I met my first boyfriend in my life, and when we go out on dates he opens doors for me, gives me his coat when I am cold, calls a cab for me to go home etc.

Is this normal? I enjoy all those nice things he does for me very much, but I don't know what to do or how to react. I felt like I owe something to him and just walked through the doors and it was really awkward. What should I do? Should I thank him, or open doors for him, or ask him to stop doing that?

Guys, how do you expect your girlfriend to respond if you open doors for her?
My boyfriend opens doors for me...?
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