In my opinion you are totally wrong @Imogensmumma this isn't funny, and no the OP should not hand her 5 week old baby over to someone else unless that is what she actively wants to do. The OP obviously does not want to do that, and when and if she does, she will probably want to hand her over to someone more mature and empathetic than this particular friend of hers.
@Cutebabymumma Many Congratulations on the birth of your adorable baby! Your feelings are completely normal Cute, and not at all selfish. If your friend does not come to visit you to offer you any practical help with say washing the dishes, and making you a cup of tea, but expects you to hand over your baby for more than 5 or 10 minutes, when you don't want to do so, then I think you should cut down on both the frequency of her visits, and the length of them.
Having said that, I do hope that you have plenty of emotional, and practical, help available to you. If you are in a position of being totally isolated apart from this friend then I think you should keep on seeing her, but try to explain to her that as a first time mum you are totally besotted (in a lovely and healthy way) with your dearest little one, so whilst your baby is awake and still so very young, you need to be the one interacting with him or her the most (along with baby's dad if he is on the scene), but that it would be great if after having a little cuddle, maybe she (your friend) could help you a bit practically, even if that is just her making you both a cup of tea, or more if she offers!
For some of her visits could you suggest that you meet up in a local park, or somewhere else that is nice at this time of year (have you got one of those large garden centres near you?) for a short walk - short because it is almost winter(!) - and then if you can both afford it, pop into a cafe for a drink, and maybe a nice cake or mince pie; or maybe go window shopping with her in somewhere like an attractive shopping mall, and show your DBaby the Christmas decorations.
I do think it is important that you don't stay at home all of the time OP - if you do tend to do that at the moment, I know that sometimes the thought of getting a tiny baby ready to go out can be a bit daunting, but it really is worth it - so meeting your friend away from your home could help solve more than one problem, as it should mean that your time together will have a natural limit, and she gets less actual "cuddle" time. Yours and your baby's comfort and happiness are absolutely the most important thing at the moment, that is not being selfish!