To help answer your question, I think you may need to also ask how that route should get blocked. Looking through the example above, you don't yet have a mechanism that helps answer the question of "should I be able to visit this page". That might come from state, redux, or some other means of determining if the user is logged in.

Since react-router is just plain React (one of my favorite parts!!) you have all the tools available to you that you would to conditionally show any part of your React app.

Here are a couple examples of how you might achieve this (by no means is this exhaustive. Be creative! It all depends on your requirements and the tools you are using)

class AllRoutes extends Component{
  render(){
    return(
      <Switch> 
        <Route exact path="/login" component={Login} />
        <Route exact path="/signup" component={SignUp} />
        { this.state.authenticated && 
          <Route exact path="/Welcome" component={Welcome} />
        }
      </Switch>
    );
  }
}

One of my favorite ways to accomplish this is creating a ProtectedRoute component

class ProtectedRoute extends Component {
  render() {
    const { component: Component, ...props } = this.props

    return (
      <Route 
        {...props} 
        render={props => (
          this.state.authenticated ?
            <Component {...props} /> :
            <Redirect to='/login' />
        )} 
      />
    )
  }
}

class AllRoutes extends Component {
  render() {
    return (
      <Switch>
        <Route path='/login' component={Login} />
        <ProtectedRoute path='/welcome' component={Welcome} />
      </Switch>
    )
  }
}

While I didn't include any specific logic to how state.authenticated was set, this may come from anywhere (by no means does it needs to come from state). Do your best to answer the question of "how do I determine whether a user is authenticated" and use that mechanism as the means to handle route authentication.

For that you need to break the entire app into two parts, normally accessible and protected part. Protected part will be accessible only after successful login.

To achieve that functionality, create a wrapper of protected part, and define its routes with path='/', and put the condition inside that. All the protected routes should be defined inside that wrapper component. If anyone try to access those routes without login, wrapper will redirect them to login page.

Like this:

class AllRoutes extends Component{
 render(){
   return(
     <Switch> 
       <Route exact path="/login" component={Login} />
       <Route exact path="/signup" component={SignUp} />
       <Route path="/" component={AppWrapper} />
     </Switch>
   );
  }
 }

AppWrapper Component (assuming you are using some way to maintain whether user is logged-in or not, so put the proper check in if condition):

import { Redirect } from 'react-router-dom'

class AppWrapper extends Component{
  render(){

  if(/*not login*/)
    return <Redirect to="/login" />

   return(
     <div>
       App wrapper
       <Route path='/Welcome' component={Welcome} />
     </div>
   );
  }
}

I would like to join the party with simple solution.

Just conditional render in the component prop in as follows:

<Router>
  <Navigation />
  <Switch>
      <Route
         exact
         path="/"
         component={
          loading
           ? () => <div>Loading posts...</div>
         : () => <Home posts={posts} />
        }
      />
    <Route path="/login" component={Login} />
  </Switch>
</Router>

Here i am trying to fetch some data from an api when it fetched (loading) should be false and renders Home component.