You need to pass in and then you can access it using props.name in Home.js file also pass props in Home.js function.

It's because this line let user = useContext(UserContext) is storing undefined inside user, which is normal because you didn't wrap Home inside UserContext.Provider and gave user inside App as value.

Change the return inside App to this:

return (
  <>
  <ThemeContext.Provider value={theme}>
    <Navigation />
  </ThemeContext.Provider>
  <UserContext.Provider value={user}>
    <Home />
  </UserContext.Provider>
  
  </>
)

And you could simplify your return inside Home to this:

return (
    <>
      <Alert variant="success">Welcome back, {user.name}!</Alert>
      <Card className="text-center col-md-10 mx-auto my-3">
        <Card.Header>Featured</Card.Header>
        <Card.Body>
          <Card.Title>This is Our Featured Item</Card.Title>
          <Card.Text>
          Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
          </Card.Text>
          <Button variant="primary">Click Here</Button>
        </Card.Body>
      </Card>
    </>
  )

You are not passing the user to be consumed by a child component. You need to wrap the Home page with the UserContext.Provider and pass the user that you'd like to provide. Also, you can remove the UserContext.Consumer tag in the Home page since you are using the Hooks approach for consuming from a context.

import React, { useState } from 'react'
import Navigation from './Navigation'
import ThemeContext from './ThemeContext'
import UserContext from './UserContext'
import Home from './Home'

function App() {
  let [theme, setTheme] = useState({
    variant: 'dark',
    toggleTheme: toggleTheme
  })

  let [user, setUser] = useState({
    name: "Alyssa"
  })

  function toggleTheme() {
    setTheme(theme => (
      {
        ...theme,
        variant: theme.variant === 'dark' ? 'light' : 'dark',
      }
    ))
  }

return (
  <>
  <ThemeContext.Provider value={theme}>
    <Navigation />
  </ThemeContext.Provider>
  <UserContext.Provider value={user}>
  <ThemeContext.Provider value={theme}>
    <Home />
  </ThemeContext.Provider>
  </UserContext.Provider>
  </>
)
}
export default App

Home

import Card from 'react-bootstrap/Card'
import Button from 'react-bootstrap/Button'
import Alert from 'react-bootstrap/Alert'
import UserContext from './UserContext'
import { useContext } from 'react'

function Home() {
  let user = useContext(UserContext)

  return (
    <>
      <Alert variant="success">Welcome back, {user.name}!</Alert>
      <Card className="text-center col-md-10 mx-auto my-3">
        <Card.Header>Featured</Card.Header>
        <Card.Body>
          <Card.Title>This is Our Featured Item</Card.Title>
          <Card.Text>
          Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
          </Card.Text>
          <Button variant="primary">Click Here</Button>
        </Card.Body>
      </Card>
    </>
  )
}

export default Home