Hi - you don't import the library to your current one, you import the individual photos after you have exported them from photos on your old mac - and yes, it will keep all the photos you now have.
Import is a normal way to add photos to your library. Think of it as your local book library. When they "import" books (Buy new ones and bring them in) they put them on the shelves next to the existing books. They don't replace the existing books.
Or you copy your old library onto your new mac, you will have two libraries which you have to open separately (By holding down the option key when you start photos, you can select a different library to open - like visiting two book libraries next door to each other.) When you open the old library for the first time, photos will probably take some time to upgrade it. (Make sure you keep the one on your old mac at least until the upgraded one is working on your new mac). When you can open the old one, you can choose to export all the photos to your hard disk, and import them into your normal library if you want everything in one library. (Carry all the books from one library to the library next door :-) )
The only thing you need to be careful of is not to copy your old library over the top of your current one. Copy it to a different folder just to be safe (EG create a sub folder in your pictures folder for it such as <your name>/pictures/old library/
Do you know if you have photos on your old mac, or Iphoto?, and what version of MacOS is it?