How to get this menu and slider with banner for e-commerce? Like in Aliexpress

If your categories are for products, the usual category widgets may not work since the taxonomy might really be “product-category” or similar and not the usual “category”. See if your e-commerce plugin offers that sort of sidebar widget. There could be a category widget that lets you specify the taxonomy.

One of the slider plugins should let you add a slider to your page. Likewise, a generic banner plugin should help you add a banner.