It may resemble it, but it will have a personality all of its own. This is most pronounced in mixed breed cats, but even with purebreds whose personalities are more easily generalised, some individuals are more outgoing or confident than others. Owners who seek to replace their previous pet are frequently disappointed. It is better to commemorate or remember a previous cat by adopting another one fully cognisant that it will be an individual with a character all of its own. Just as every human is unique and cannot be replaced, every cat is unique.
Some people prefer to adopt a cat which resembles the previous one.
An equal number of people adopt one which looks completely dissimilar so that they are not uncomfortably reminded of the former pet. It is a matter of personal preference. Most people adopt another cat to fill the gap left by a previous one - a feline companion to give and receive love and to provide company and enjoyment. This is a well-adjusted attitude. Some provide a caring home for an unwanted cat to save it from possible euthanasia which is a very generous attitude.