Yes, that's pretty much how things work in a tax-paying democracy.
There are several parallels. Take the Arts for example. Ballet & opera are subsidised through taxation, but if you actually want to attend, you pay again by buying a ticket.
We all contribute to the Highways whether we drive or not, nobody has to pay to walk down the pavement or use a Pelican crossing but if you wish to use a car, you pay extra.
Here's another one (you'll like this), supermarkets. If you use a supermarket, you pay for the goods, but you pay again, through tax, for the transport infrastructure that enables the supermarkets to function, and again (through taxation) for the tax-credits which enable the supermarkets to employ workers on low wages. Even if you never use a supermarket, you still pay the last two.
Good isn't it.