I graduated a year ago onto an IT grad scheme. I now have 1-on-1s with my scheme manager, team manager and a senior manager/VP. I even run a 1-on-1 with a grad that just started so I can experience what it is like being on the other side of the table.
Frequencies vary between biweekly to monthly and quarterly, and I find varying degrees of value in all of them. For young professionals, I'd be worried if you weren't having one-on-ones with at least one manager.
A graduate is normally a good investment to a company, and they will be looking to guide and nurture you, in the hope that what they invest in you will be paid back if you stay in the company and move through your career.
Realise all of the benefits of this face time with your manager. They not only have the best knowledge of what you should be doing currently in your role, but are also going to be well versed in company structure and culture, and looking to see how they can help you grow professionally. If you want to discuss training, visiting conferences, maybe even an MBA, this session is the best time to do it.
They will also probably be senior to you in age, so it can be a great session to discuss soft skills and out of work responsibilities. One of the senior managers I have had a 1-on-1 with has offered me advice as I look at buying a house, and I ended up spending most of another session with my scheme manager discussing the company's share save scheme and presenting in stressful situations. These sorts of discussions equally help you build a stronger relationship with your manager, cementing your value in the team.
As a final note, our company is large and split up into smaller businesses; each business has a CTO and I know each of these CTOs still has to have a 1-on-1 with the global CTO!
You aren't getting singled out, and these sessions are great for you and your career. Embrace them, and don't just limit it to "what I've done this week".