Unfortunately, Material-UI doesn't provide a navbar
component like Bootstrap does. (It does have an appbar though, but I don't think that's what you're looking for). Also, it doesn't give you the automatic responsiveness out-of-the-box like bootstrap. It just gives you the tools so you have to take care of it yourself.

A navbar, however can be composed using some basic MUI components with flex:
import React from "react";
import "./styles.css";
import { Box, Typography, Button, IconButton } from "@material-ui/core";
import MenuIcon from "@material-ui/icons/Menu";
export default function App() {
return (
<Box display="flex" bgcolor="grey.200" p={2} alignItems="center">
<Typography>React-bootstrap</Typography>
<Box>
<Button color="primary">Link</Button>
<Button color="primary">Link</Button>
</Box>
<Box flexGrow={1} textAlign="right">
<IconButton>
<MenuIcon />
</IconButton>
</Box>
</Box>
);
}
Here's the live demo: