Well, very broad question. So having a website is always a good thing for your business. With a website, your customers can get more information about your latest product or service.
Now for a startup do I need a website, to answer this question. First, we need to figure out for which type of startup category you are in. The startup category is basically your business category. So for example, if you are a brand new startup company which provides tailoring service to your customers. Then you should have a good quality functional website. There are a lot of things which you can unfold once you have a website. As with the same example, you can sell your readymade designs or product online. So you do not have to bear huge office and staff expenses.
Having a website is always a great idea. But need you need to know exactly, how your website will be designed and what features or products will be there on the website. As these days software products are in highest demand. So if your startup is all about software or software related services. Then you need to put more in-depth attention to your website. As the website will be the front face of your company and what your company does.
Consider from an end user perspective, how your targeted audience or user will see your website and company. Make sure you have a good presentation of your official website. Because the people or end-user will judge you on the bases of your website. Because they have only one thing in front to know about you and your company.