Yes. The OP has been free for over a year to go and charge full professional web developer rates. I suspect the reason he hasn't is either:There is a huge difference between doing something extra and building a full-blown website. Do you understand how much it would cost in reality to pay someone to do that job?
If the OP was happy doing it then that's fine, but the fact he is asking, shows he isn't.
1) The OP isn't a professional web developer with the relevant experience, skills and/or portfolio
2) There is no work the OP can find
In both situations making comparisons to what it would cost the OP's boss to contract a professional/agency to develop the website are not useful. The OP's boss would probably do nothing rather than pay full rate, and the OP would gain zero from the situation other than a perturbed boss - who can fire him without warning, landing the OP in hot water.
Alternatively, the OP can develop the website. Maybe try some new techniques he's interested in/learning about, hone his existing skills, maybe the OP's boss is impressed and tells some acquaintances who own another business, who then ask the OP to build them one, too. I have a web developer friend who started a small business at a young age through that very thing happening.
Almost certainly nothing will come of cleaning the floors, but maybe - just maybe - something will come of doing the IT work. At worst, he'll enjoy it more than cleaning the floors.