redirect from login to register form in react

Firstly from Login.js you are not using Link from 'react-router-dom'

import Link from '@material-ui/core/Link';

You are using Link from material ui and material ui uses href to route from page A to page B not the to keyword that is used by react-router-dom

Since you are using forms from Material Ui you can still change the Link and use the react-router-dom Link

Your code should be like this:

Login.js

import {Link} from 'react-router-dom';
//Now with link coming from react-router you can use **to**
<Link to="/register" variant = "body2">
  Not have an account ? Sign up here 
</Link>

• So that same logic will apply when you want to route to page on certain events you want to import link the way I showed above

Now on the app level you have to Wrap it with Router

import Register from './Components/register';
import Login from './Components/login';
import {
  BrowserRouter as Router,
  Switch,
  Route,
  Link
} from "react-router-dom";

function App() {
  return (
   <Router>
       <Switch>
         <Route exact path = "/"><Login/></Route>
         <Route path = "/register"><Register/></Route>
       </Switch>
   </Router>
  );
}

export default App;