You can check your dedicated server port speed by running the following commands in ssh:
1) /sbin/ethtool eth0 - you'll see something like this
Supported link modes: 10baseT/Half 10baseT/Full
100baseT/Half 100baseT/Full
1000baseT/Half 1000baseT/Full
Speed: 1000Mb/s
Duplex: Full
OR
2) dmesg | grep -i eth - you will see somthing like this
tg3: eth0: Link is up at 1000 Mbps, full duplex.
tg3: eth0: Flow control is off for TX and off for RX.
You can have upload/download test as per this article.