If you have it on your work machine, why spend the money if you haven't ever tried using what you do have?
Do you have any experience with any database program? If no, you need to start by looking for MS Access for Dummies.... don't get me wrong, not trying to slam you. In order to learn ANY database application correctly, you need to understand the fundamentals first. Access is a true Relational database and the most important thing for you to get a handle on, right off the bat is Normalization and the different types of Relationships that make a Relational database what it is. If you can't take the time to learn these, go out and get a flat file program or use a spreadsheet to store your data. (I hate it when people store things like names, addresses and phone#s in a spreadsheet. It's like fingernails on a chalk board.) You then need to understand the proper way to design the fields you are going to use to store data. Many people will store first name and last name in one field or they will combine other fields that should be kept seperated. This may suite your particular application but it's a very bad habit to get into and should be avoided if you want to learn how to do things the right way.
Now, you can learn this stuff as you go also, but any bad habits learned early on may be hard to change later. So, if you're chomping at the bit to create something, create a database to hold names addresses and phone numbers of your friends/relatives.... This would require you to create at least two tables... one for Names and Addresses and one for phone#s. Because someone could have more than one address, you could even turn this into three tables... Names, Addresses and Phone#s. This would be a simple database but it would require you to create primary and foreign keys (very important), as well as creating relationships between the tables (very important). Once you create the tables, keys and relationships, you can create a form to add data to these tables and then a query to display data on a specified name. You could also create a report to list everyone.
If you follow this example, you will use each of the main components of Access and you should get a feel for what it can do for you... giving you additional ideas. It will also give you enough exposure to Access for you to decide if it's really what you want to do. The one remaining area of Access you need to explore would be VBA (code behind the forms).
PS... Phone#s would be a seperate table because many people now have more than one phone... main and cell... you could add work phone in there too. This would give you a one-to-many relationship... same as if they had more than one address.
Hope this helps.