Repeatedly practicing a specific topic is implied when brushing up on it. I'm brushing up on my Spanish verbs every evening.
Pro Tip 2/3
Not Starting Anew
The phrase suggests improving existing knowledge, not learning something completely new. I'll brush up on my Italian before our trip, since I've spoken it before.
Pro Tip 3/3
Casual Tone
The phrase has a casual, informal feel and may not suit formal or academic writing. Let's brush up on Shakespeare's plays over the weekend.