Every brokerage firm offers a similar process to buy index funds. In the Vanguard portal, find the top navigation bar. Then follow the steps below. See the image carousel at the bottom of the page for screenshots of each step.
The key word here is index. When investing in an index fund, you can either buy an ETF or a mutual fund.
ETFs trade like stocks and can be bought or sold anytime during trading hours (9:30 AM to 4:00 PM Monday to Friday). They can also be bought and sold multiple times within the same day.
ETFs typically have a much lower buy-in as you can either buy single shares or fractions of a share as low as $1 for certain funds at some brokerages.
If your initial investment is low or you want to actively trade your index investments, ETFs may be right for you.
Mutual funds only trade once per day and all investors receive the same price at the close of trading hours. Mutual funds typically allow for greater flexibility with fixed dollar amount investments AND automatic investing.
If you prefer adding a fixed amount of money on a regular schedule and don't need to sell investments often, mutual funds may be better suited to your goals.
That's it - your order may take up to a few days to process if you selected a mutual fund and/or placed a trade order on a weekend or US federal holiday.
Once it executes, you now own shares of your selected ETF or mutual fund!