"Can I use normal lights to grow plants indoors?"
Yes, you can use most regular light bulbs to help grow your indoor plants. But they're nowhere near the best source of light for plant growth and using them is unlikely to produce a healthy houseplant in the long term.
So, why don't I recommend using normal light bulbs and just how effective are they compared to indoor grow lights?
The rest of this article goes into more detail, answers these questions and I'll hopefully give you a good understanding of the topic along the way.

Full spectrum artificial light can give out enough light to fuel your plant's growth, but is it worthwhile?
Right from the start, I'm going to tell you that using regular light bulbs when growing plants indoors will never be as effective as finding good natural light sources in your home.
FURTHER READING -
COMPLETE GUIDE TO INDOOR LIGHT AND YOUR PLANTS
That said, some sources of artificial light can strike a good compromise for houseplants you have growing in lower lit areas and can't be moved into a location with natural sunlight.
The Science of Light
The science is complicated, and you know us; we like to keep it simple where possible. Use this article to get an understanding and I'll link to some more detailed explanations later if you decide you want more.
*Cracks knuckles and grabs large cup of coffee* OK, let's get started.
Electromagnetic Radiation is energy made up of photons that have measurable wavelengths. Some of this energy is invisible to the human eye, such as radio waves or ultraviolet light.
But if this radiation has a wavelength between 380 to 750 nanometers (nm) most people can see it as visible light that equates to the colors the human eye can see.
