Hi, I'm sorry to hear her pet died, but you are a wonderful grand(son?) for thinking of her, though you may not be crazy about what I'll say - do both of you a big favor and get her a really nice house plant, or maybe a book about bonsai, because the problem is that even though there are some trees that are 'easier' than others to take care of, bonsai are still quite different from house plants, which she has been used to all her life, and they need to have the right care from the minute they come home. I'm sure her 'instinct' will be to water it every day or so (a bad idea for most bonsai), and it can take a while to fight that instinct (and others) while you learn to do it right. What happens so much of the time is that while you're learning about bonsai, it is likely to die while waiting - and I'm sure she wouldn't want to lose another a special gift from you at this time. There also can be a lot of work involved learning about the right soil mixes, lighting requirements, etc., and I'm sure that while she may decide to learn bonsai on her own at some point in the future AFTER reading up on it and deciding which one she could best take care of, it might not be the best idea right now, but I bet she'd love a good book on bonsai so she can see if she actually wants to get into doing it. Bonsai very rarely make good presents, too often they just make people feel guilty because their gift died even though they 'took care of it'. But your heart is in the right place!

Thany you and ill use your advice

i recomend the bonsai workshop by Herb Gustafson. Its one of my favorites
i think its like 15 or 20 bucks, but very helpful book.